One might ask, "What do United Methodists believe?" There is no way of saying for sure what all the millions of us believe. However, it can be clearly stated that all those who are ordained as Elders and Deacons must answer the following questions with a "yes," if they wish to be ordained (Found in The Book of Discipline in paragraph 330.4d for Deacons and paragraph 336 for Elders).
8. Have you studied the doctrines of The United Methodist Church?
9. After full examination, do you believe that our docrines are in harmony with the Scriptures?
10. Will you preach and maintain them?
What are "the doctrines of The United Methodist Church?"
They are clearly stated in plain English in Our Doctrinal Standards (Paragraph 103 in The Book of Discipline), which include
The Articles of Religion
The Confession of Faith
Wesley's Standard Sermons
Wesley's Notes on the New Testament
As I examine these doctrines, it seems that it would not be possible for an honest unorthodox, nonevangelical to be ordained as a United Methodist pastor.