My father’s side of the family belongs to the Church of the Nazarene, which grew out of the Wesleyan Holiness Movement in the early part of the 20th century. I believe they still affiliate themselves with the Wesleyans, but they are not Methodists. They have aways been quite conservative, and I believe they are still are. Their website gives their position on abortion–they strongly oppose it. My cousin is a minister in that denomination, and he spoke about holiness of life as being important.
Their theology is basic traditional Christianity of the Protestant type. They believe in the Trinity, Original Sin, Baptism (they will baptize infants) which they consider a Sacrament, sanctification by the Holy Spirit. I am not real knowledgeable about their theology, but I recall my grandparents speaking about being “saved”, but they are not OSAS, they do not embrace that doctrine and if one is finally impenitent, they can be lost. They do place an emphasis on holiness of life. They, (at least when I was growing up) were pretty fundamental in their approach to the Bible. I don’t know too much about the Methodists, but the ones I know are fairly liberal in their social policies.
If I am in error, perhaps some member or ex-member can correct me.