Would someone who believes Israel wants a two state solution please describe the Palestinian State they think Israel has in mind?
The last time I saw anything quasi-official Israel put forth as a possible Palestinian State it was a patchwork of isolated towns, villages, and neighborhoods with limited powers of governance and no officially recognized ancestral land claims, not a contiguous land area with controls over borders, resources, immigration, or anything else that a normal independent State would have. And the proposal before that was for a Palestinian State somewhere other than Palestine.
I fully believe Israel would support a Palestinian State in the Sahara. I highly doubt Israel will allow one to form in the West Bank. So I think it would be helpful if we all agreed what sort of two state solution we're talking about before we discuss whether Israel would want it.
It's not a patchwork. It's two pieces but that's inevitable. A country can be in two pieces and still function. The US is in three pieces, there are several other nations with even more.
And they will not have border control until they demonstrate that they'll be peaceful. Of course this is a sticking point because they want a nation but to continue the war.
Personally, I'm not in favor of a two-state solution anymore, though. Hamas and Fatah are too hostile to each other, I think a three-state solution would make a lot more sense. Also, I do not believe there will be peace but with a three state solution there might be peace between Israel and Fatah. Israel/Hamas is going to be war no matter what.