My social group is and has always been almost exclusively men (and the straight ones' girlfriends/wives, but I only meet them through their boyfriends/husbands) and almost exclusively cis. That's been constant since kindergarten, really; I've have a few distant female friends sort of drift in and out of my life, but the last really close girlfriend I had was when I was about seven. I relate to guys pretty easily. The only time it gets awkward is when they ask me to explain women to them, because I'm completely helpless in that department.
I've met a few trans guys in real life, but I've never met one 'organically' in a situation where a friendship would really develop - support group type environments don't work like that for me, they're really uncomfortable. I definitely never felt like I related better to trans guys than cis guys. In fact, sometimes I really struggle to relate at all; a lot of the trans guys I've met have lesbian-identified pasts and very little experience relating to cis men. As someone who's never felt comfortable in female-dominated environments, I find them (and their partners) rather confusing and intimidating.
And I'm not exactly "stealth" (I'm straight-married, my close friends knew me as female until a couple months ago, and I still go by my birth name around them) but I'm not exactly "out" to everyone I meet either, since I pass remarkably well these days. How I present doesn't seem to have any bearing on the sort of people who are interested in befriending me - the only thing that's changed is the predominant sexuality of the guys who flirt with me.