Do you feel what they feel? Or feel what they say they feel? Or feel what you feel they feel?
I'm aware sometimes of sympathetic responses arising from, rightly or wrongly, thinking I have had analogous experiences. But I'm INTJ. It even says in the type descriptions that we use Ni to mimic actual emotional awareness. You guys? Who knows what crazy stuff you guys are up to with this Ne/Fi/Fe weirdness.
Sensitive? Moi? I doubt it. Anxious, yes; sensitive, no.
I don't fix people's lives unless they come close, really close, and then they're in for a dose of unbridled "reality, man!" complete with plans and counter-plans and overarching abstract narratives--unless they do what I really hope they'll do and start interacting with those plans and ideas and assert their right to modify them for themselves, preferably telling me about it too so I know what's real as well, in which case I settle back and feel pleased, even relaxed.