To answer your questions:
We list all of our L & T churches on the TV show. We don't list anyone else's churches. They might not want to be associated with us!!!!
We
have been asked if we are "Jesus only" to which we say a huge NO. We've never had anyone get ugly about it. And we've never had anyone at this church refuse to be baptized (or let their kids be baptized) because we do it in Jesus' name.
AND.........I don't think Trinitarians are necessarily lost. Just because they don't understand the godhead the way we do, I don't think they're automatically condemned. I think they need to study more and I'm thankful for the revelation that we have, but I don't think it puts us in some exclusive club with God. I think He's much bigger than that.