Agree with this. Regarding the OP, we need to distinguish between a ceasefire in this present war, which is a short-term goal, and a two-state solution, which is a long-term goal.
Realistically the biggest hurdle to a ceasefire in Gaza right now is the question of what happens afterwards. Israel isn't willing to leave Gaza until Hamas is no longer in charge. Hamas isn't willing to stand down or to accept an Israeli military presence in Gaza. Hence the standoff, in which the hostages are simply pawns.
A ceasefire is urgently needed. It's important to get the negotiations right because we need to break the cycle of violence and start to build the future. None of the Western and Gulf states are going to invest significantly in rebuilding Gaza if they think that we're going to have another war in a year or two. By the way according to the most recent polls, 73% of Israelis are in favour of a hostage-ceasefire deal and only 14% are against (13% did not express an opinion).
Israel urgently needs regime change, to break out of the Netanyahu years, to solidify the democratic institutions eroded by successive Netanyahu governments and to diminish the outsized influence of the far right who have achieved political influence far greater than their numbers because of Israel's proportional representation which means Netanyahu relies on them to keep his government afloat.
Elections will almost certainly occur within the next couple of years; the government has a fixed term but may well be brought down before that by one or other of the coalition partners leaving. At the moment the latest polls give Netanyahu's coalition 52 seats compared to 68 for the anti-Netanyahu bloc. Netanyahu is now 75 years old so his political future is eventually limited. Yes there are other right-wing populist politicians on the horizon, but they don't have his political skills and experience.
For a two-state solution, both sides need to be convinced that it's more in their interests to compromise than to maintain the status quo, and will need skilful and pragmatic leaders to negotiate the deal.