If #2 isn't true, how can #1 be true?
As to #3 not being true.... that's just a Negative Nancy.
A person with any beliefs can describe themselves with almost any label. I can call myself a Brony even though I've never watched My Little Pony, don't know anything about it, I'm no Bro, and don't intend to change. But would I be accepted by the other Bronies?
In other words, those people are wrong. They might be proto-leftists. :) Or just libs.