He was kicked out of the Anglican church for trying to reform it to letting in people who were admitted drunkards. But he wasn't trying to get the Anglican church to support drunkenness or alcoholism, just get the church to let them attend church. Nobody is saying gays can't attend church, just don't get the rest of us to applaud gay-dism or whatever you want to call it.
The left likes to conflate tolerance with approval and say if you ain't approving of this sin or that sin, you ain't tolerant of people who habitually do those sins. The left running the United Methodist church today would kick out Wesley for preaching too much holiness.
I suspect not many know that John Wesley visited and ministered to the early Georgia Colony at Savannah for two years. That is part of the reason the Methodist movement later took hold here so fervently.