So I was curious and looked to see what percentage of conservative men seek therapy, and while I didn't get a number, I came across this interview with a conservative therapist.
At least according to the article, 90% of therapists have liberal values, which in my personal experience makes sense. But the problem is that it makes it difficult for conservatives to find a therapist that they can feel safe expressing their political views, but of course with therapy so frowned upon in conservative circles and they use the church for counsel (not counseling), it's tough for a conservative therapist to get work. It's a bit of a catch 22.
The therapist in the interview has so many stomach turning comments that personally I would not touch her with a 10 foot stick, but the point I do sympathize with is that therapy should be accessible to everyone, no matter your religious or political beliefs.
I think this really hits with the "I go to therapy because of people who don't go to therapy", but that article gave me a perspective of "oh, the people who don't go to therapy usually don't have a therapist they could go to to meet them at their level."