Thus saith the LORD, 
Stand ye in the ways, and see, 
and ask for the old paths, where is the good way,
and walk therein, and ye shall find rest for your souls. 
But they said, We will not walk therein.
Jeremiah 6:16
 
"The United Methodist Church was formed in 1968 as a result of  a  merger  of  the  Methodist  Church  and  the  Evangelical  United Brethren Church. 
The 1800s Methodist Church split over slavery is not covered here except to note the split was not only their view of slavery, but also creationism and other topics. 
  Thomas  Yorty,  in  a  review  of  academic  Methodist  thought,  wrote  that  “use  of  the  argument  from  design  abounds  in  the  [UMC’s]  Review. Significantly, however, the [design] argument after 1877 seems to be used as a way to accommodate or modify Darwin’s ideas.”
Yorty concludes that after 1877 the accommodationists’ view, often articulated as theistic evolution, or where God used evolution to create life, often dominated Methodist academic thought.
 
Professor  Dawn  Digrius,  in  a  review  of  how  theistic  evolution  became  established  in  Protestant  churches,  and  specifically the UMC, observed that Rev. Lyman Abbott’s mission was to persuade Americans that “science and faith were compatible and ... as he and John Fisk believed, ‘Evolution  was  God’s  way  of  doing  things’  and  ...  there  had never been any conflict between science and religion, nor was there any need for reconciliation, because harmony had  always  existed.”
 As  an  advocate  of  evolution, Congregationalist Lyman Abbott (1835–1922) naively assumed the scientific evidence supported Darwinism and focused on accommodation of evolution with Protestantism. Church historian William Warren Sweet wrote Abbott was so important that “no religious leader in the modern period has exercised a more abiding influence” on American Protestantism, including on the Methodist Church.
 
Digrius then traces the influence of Fisk and Abbott to Methodist minister Lynn Harold Hough (1877–1971), who supported  the  accommodationists’  view,  and  taught  that  Christianity could assimilate evolutionary concepts without compromise. As a dean at Methodist Drew Theological Seminary,  where  he  had  been  a  professor  since  1930,  and  dean since 1934 until he retired in 1947, he was involved in training thousands of ministers and other church leaders.  
About this time, William H. Phelps, editor of The Michigan Christian Advocate, wrote that the conviction of John  T.  Scopes  in  Dayton,  Tennessee,  produced  “careful  thinking on the part of every one of us”. He concluded Methodists  should  “begin  to  use  evolution  a  bit  instead  of  abusing  the  scientists!” 
 
As a result of this statement by Phelps, on Monday, 31 August 1925, formal charges were brought against Hough and William H. Phelps by Rev. Bird led by Dr E.J. Warren of  the  Detroit  Conference.  Consequently,  the  Methodist  Episcopal  Church  was  forced  to  respond  to  the  heresy  charges. Congregants who agreed with the views of Hough recalled the enthusiasm with which his sermon was received locally. Although the committee was reticent to have the press present at the meeting, Bird demanded media  coverage,  and  the  committee  reluctantly  agreed.  Bird  declared  he  opposed  the  “encroachments  of  the  evolutionary theory upon religion” and believed that “the doctrine of evolution was going to split the church in two”.
 
 The  UMC  committee  met  and  recommended the Detroit Conference refuse to even consider Bird’s charges. When  the  UMC  conference  received  the report, they responded with “loud and prolonged cheering”.
Widespread coverage  of  the  heresy  proceedings  strongly supported Hough over Bird. This event was important in solidifying the Darwinists’ position in the UMC. 
Digrius asserted that those persons like Hough wish to deflate the conflict, a goal that  includes  groups  such  as  The  Clergy  Letter  Project. Their  goal  is  to  bring  clergy  and  scientists  together  in  an  effort  to  convince  them  that  “numerous  clergy  from  most  denominations  have  tremendous  respect  for  evolutionary  theory and have embraced it as a core component of human knowledge, fully harmonious with religious faith”.  In  fact,  the  project’s  goal  actually  silences  Darwin  critics  in  the church. 
The acceptance of evolution by leaders of the Methodist Church was by no means unanimous. 
  When the 1986 Louisiana Darwinism anti-indoctrination case designed to protect teachers’ right to objectively present the evidence for and against evolution in the classroom was before the Supreme Court, several UMC bishops filed a brief against this bill. Specific Methodists involved included Bishop Kenneth Williams Hicks of the Arkansas UMC Conference and Bishop Frederick C. James of the African Methodist Episcopal Church of Arkansas.
 
The official position of the UMC since at least 2008 is very clear: theistic evolution, which translates into evolution with a thin coat of theism. 
“United  Methodist  General  Conference  passed  three petitions that accept the theory of evolution. 
One opposes  the  introduction  of  any  faith-based  theories  such as creationism or intelligent design into public-school science curricula.”
 
Another example officially supporting evolution is in answer to a question published on the official church website: “What is the UMC’s position on evolution?” The answer was: “the official statement is, ‘We find that science’s descriptions of  cosmological,  geological,  and  biological  evolution  are  not in conflict with theology.’”
 Under  the  subtitle  “It’s  time for people of faith to accept evolution,” we read that the UMC needs 
“...  to  overcome  its  qualms  about  evolution  for  the sake of our children, each other and the future of society ... . in accepting the findings of science. Together  we  need  to  correct  the  misconceptions  and  discard  the  myths.  Eugenie  C.  Scott,  the  executive  director of the [aggressively anti-creationist] National Center  for  Science  Education,  says  that  rejecting  evolution puts at risk the high level of scientific achievement that has helped propel the United States to a position of economic, technological and political leadership. ..."
  
The  UMC  has  since  then  become  even  more  hostile  against  any  opposition  to  Darwinism,  and  church  bishops  are not innocent in this controversy. In 2016, they were given the title ‘censor of the year’ by the Discovery Institute for banning a group of Christian educators and scientists from displaying scientific literature at the Oregon conference, even though many other groups, including some very controversial ones,  were  allowed  space  to  present  their  literature.48 The banned  scientists  were  part  of  the  Discovery  Institute  that  produces books and films about the wonders of nature that give testimony to the Creator. ....The specific source of the ban to exclude the Discovery Institute from the church’s General Conference is unclear, but the result was to censor discussion of intelligent design. When the Discovery Institute inquired about the source of the ban, they were told only that Commission ‘leadership’ made the decision. The UMC—although its motto is “Open Hearts, Open Minds, Open Doors”—refused to disclose who made up this shadowy ‘leadership’ group." CMI/Jerry Bergman