On your first point, that doesn't seem like an idea unique to the Far Right at all. Plenty of Left Wing friends of mine don't think Capitalism works within a Democracy (though I'm sure for different reasons than Thiel).
On your second, I think the virtue of Multiculturalism is at least worth debating. If he calls it "evil" that's not something I'd agree with, but that would align with a lot of Far Right thought.
As for Coulter, she's just as much of a race baiter as any of the others on the Left that seem to attribute any problem they see to some race-based variable. I don't know of any instance where Theil has actively promoted her or her ideas but I'm ready to be proven wrong.
Not sure what to make of that last paragraph. My guess is you're taking issue with "Libertarian" and implying that Thiel is in fact not one, and is using it to appeal to nominal "actual" Libertarians by hyjacking the word. This is of course quite possible.