I was actually just hoping to get a viewpoint on the guy from someone who isn't already inclined, for obvious reasons, to think he's basically a terrible monster of a human being, and being a leader of the coalition government he's one of the major players in this affair.
Well, as I said I had to look him up and from that he does not look good at all. I don't remember hearing a lot about him before, he's new to politics apparently. There are several political movements in Israel that historically have been and still are a hindrance to the peace process (Settlers, the religious and nationalist right). I don't know if Bennett can be singled out among those as a particular obstacle, there are certainly worse, but then he is part of the current government. (Israeli politics can be quite confusing, with small splinter parties and some other pecularities, and with the changing coalition governments and everchanging party names.)
It seems to me (from an outside perspective) generally speaking that hardliners have gained political influence in the last 10,15 years, which may be sort of a reaction to the developments in the Middle East as a whole and the continued conflict with the Palestinians, and as such is understandable (though also maybe not helpful). You get controversial statements even from people in more moderate parties, like Avigdor Liebermann, though that is not representative of Israeli politicians as a whole.
Bennett's peace plan doesn't look very feasable, I still think a 2 state solution would ultimately be more promising. Then I'm generally pessimistic about all peace plans, since so many have failed already.