Well, I guess my ignorance is on parade. I based my comment on an article a "conservative" wrote for the New York Times. If the Times chose him, I figure he's pretty far to the left. He said that everyone in the new government had to give up something. I read that as he's going to cave in to the Palestinians and the left. It's a case where I hope I'm wrong.
Bennett did have to make some background "deals" with a handful of "centrists", arab parties, and outright leftists to be able to get a majority and form a government (Bibi blasted Bennett for that but was hypocritically trying to offer his own "Sweeter deals" in backroom talks trying to convince the Arab parties to switch sides and back him for PM). Contrary to what a bunch of FReepers are claiming, leftists did not "take over" the Israeli government and the political parties in their parliament who are outright leftist (Labor and Meretz) are a shell of their former selves and only won a handful of seats in the last election, so they ended up with just a few second tier cabinet posts in this "coalition government", like Minister of Transportation, and head of the Environmental Protection Agency.
I don't expect Bennett to move leftward and sell us out, but also realistically I think his government is so hopefully divided that they won't be able to accomplish anything besides oust Bibi. I expect him to try to continue most of Bibi's conservative policies without having the baggage that Bibi brought to them, and I'm fine with that.
I think the best case scenario is this new government collapses before 2023 so "centrist" Yair never gets a chance to "rotate in" as PM, and Likud comes back and wins big in the next election by starting fresh WITHOUT Bibi as the face of their party.