I am not a Baptist, yet one of my biggest fan's (his words not mine)
is a Baptist Minister ... Faith is one thing, my faith is serious, just because I don't attend someone else's church doesn't mean they can't like the music and enjoy it, they would not ask you if they did not ... people are people. But if you are uncomfortable with it then don't do it.   As far as attending someone's service. I been to a lot of beautiful services of all denominations. My one rule, start preaching on politics and not the Lord and I walk out ... that means my church also. For the most part, I never hear anything but the Lord and that makes me smile