The fact that ruler dynasties were Sunni reinforces what I am saying: The Party of Imam Ali (عليه السلام) has always been the party of the Iranian people
From a very early time low- and middle class Iranians (not only Persians) have been alligned with the Shi'a (even if it were a Ghulat sect or some mix with Mazdeism) and the Safawi Order became Shi'a when they started to be politicized, when they began to be militant
What political capital can you gain from Israel? It's a quite isolated statelet with 0 geopolitical weight of its own, heavily backed and funded by superpowers. If you want to gain that capital, go for Niue or Dominica, at least there are safe beaches in those islands