You are correct in theory, it is certainly a technical possibility to avoid such a problem. In practice, this isn't done and isn't possible since the major factions are too at odds with each other to create such a situation. In particular, everyone in the center-left knows that there's no point in trying to cooperate with Binyamin Netanyahu because he is guaranteed to betray them and not uphold his part of whatever bargain they make. Everyone in the right knows that they can't cooperate with anyone outside of Binyamin Netanyahu because they'll be accused of being evil terrorist supporting leftists and will lose many votes in the next election.
The point I was making is that it is actually this dynamic (and the fact that it is legitimized enough that it is able to continue) that is causing issues and that whatever is creating it is the real problem. Proportional representation may be the superior system, but it is not the cure for the problems democracies are facing and so the specific system in use should not be blamed as the root cause of these problems and it is then in my opinion a contributing factor at best.
> In particular, everyone in the center-left knows that there's no point in trying to cooperate with Binyamin Netanyahu because he is guaranteed to betray them and not uphold his part of whatever bargain they make. Everyone in the right knows that they can't cooperate with anyone outside of Binyamin Netanyahu because they'll be accused of being evil terrorist supporting leftists and will lose many votes in the next election.
So, by your description, due to the polarizing influence of a particular personality (a—and I get that Netanyahu’s political longevity makes this east to forget—transitory situation) you have, despite (but not because of proportional representation) the dynamics of a two-party system with potentially influential potential defectors from a majority, rather than the normal dynamics of multiparty coalition building.
Guess what, that’s a fairly common state of FPTP independent of personalities; the potential defectors just aren’t conveniently marked with a different party label than the solid partisans.
The point I was making is that it is actually this dynamic (and the fact that it is legitimized enough that it is able to continue) that is causing issues and that whatever is creating it is the real problem. Proportional representation may be the superior system, but it is not the cure for the problems democracies are facing and so the specific system in use should not be blamed as the root cause of these problems and it is then in my opinion a contributing factor at best.