I've never found that to be an issue. Certainly some of my choices have been questioned, but they were definitely questionable. But lifestyle and world-view? Honestly never comes up. My therapy isn't about my political or religious views. You seem to have a very narrow view of what therapy is about. Honestly, there are probably as many "types" of therapists as there are people in the world. The trick is finding the one you feel most comfortable with if therapy is something you are interested in. If it isn't, then that's okay too.