Most of this is speculation, but I know enough type to pretend I know what people think of me.
NFs think I'm brilliant, passionate, and full of potential. They even learn to appreciate the abrasive/deliberately rude behavior. Somehow it all seems to gel with their... well it seems like they have an ego for me, and everything is permissible, they'll be the one to issue a reprimand when I do step out of line.
Either that, or they figure (accurately I should add) that if they defend and support me, that I'll do it for them. Unfortunately for me, I know far too few of these creatures.
Or by contrast, there are the ones who heatedly hate me for being so violent with my words. These ones are almost always wrongheaded anyway. Not that that matters to me. I'm gonna screw with them anyway just 'cause I know they hate it.
S_Js... what is there to say about an S_J? They all say they see potential in me, but it's wasted.
"What are we going to do with you?" I get that one a lot.
Or better "*gasp followed by pause* Get that out of your ear" referring to my stretched earlobes.
Get them out of here.
S_Ps don't get me. They don't get it.
"You're a weird dude..."
Well they don't really get anything. Except what they want. And they should. Every goddamned one of them deserves whatever they get. That's their philosophy, and it's the one I hold for them. The extraverts, if they've not enlisted me, view me as a threat, to be, either eliminated, or ignored. I even got an ESFP (I know... holy shit) to hate me. I'm quite proud to be honest. The introverts... Well ISTP... geniuses almost all of them. Except that they don't always know what I'm talking about, which is disheartening because I know they're goddamned smart. That's ok. We get along because they don't really care about what anyone is talking about, and I don't expect them to understand -- just to be well practiced.
ISFPs are like the girl who everyone thinks is interesting, because all of them seem to have been traumatized... it's as if God picks on all of them... What happened here? I see through it. They're not really interesting. Creative though. I appreciate that, and they, in response, appreciate me.
Well S_Ps either don't know/care you're there, or like you as long as you like them.
NT: The extraverts normally don't like me. I think it's because they all like to think of themselves as revolutionary thinkers. They've all got 'the next big idea' and they're pissed off when mine invariably take precedence over theirs.
The introverts however very much enjoy to hear what I have to say. One INTJ friend even almost got himself kicked out of school for enforcing an idea I'd impressed him with.