Various Arab states maintain this balancing act between a virulently anti-Israel population and a US-aligned (in most cases, US-installed) regime that’s tacitly okay with the existence of Israel.
It’s actually surprising it’s achievable for so long but in the long term doesn’t feel stable given the direction things are headed
Which Arab regimes, today, are "US installed"? Iraq is the only plausible answer.
As far as stability, I don't know. My view is that Arab democracies are unstable because they will elect Islamists. Dictatorship/monarchy has proven far more stable. Syria is trying to buck the trend; we'll see how it goes.