Would anyone riding a Ural motorcycle be welcomed in motorcycle riding circles?

Ok, I admit I've never heard of Ural (had to do a quick duckduckgo search for them). Personally, I'm of the camp that says "it doesn't matter WHAT you ride, it's more important THAT you ride". For me, I like the look and feel of my Harley Davidson. I'm not presumptuous enough to try to tell someone else how/where they spend their money though.

If you are a true rider, your passion is welcomed no matter what you ride. My pov

It would depend upon the riding club. Some are very specific about the motorcycle type. Some are not. The best place to get your answer would be from the local riding clubs in your area. Just an fyi, clubs from MCs, RCs and even MMs (ministries) can be very political and controlling.