Turkey's dislike for Israel is more recent and related to their role of caliphate under the last Sultans. But their dislike and rivalry with Iran goes back to the split after Ali's death over the secession of the caliphate in the 7th-8th Cs.BboroAg said:
You guys are probably right….but they might find commonality in their dislike for Israel (almost seems biblical)
Turkey sees itself (and was under the Ottomans) the true [and Sunni] Caliphate; and Iran sees itself as that claimant, in the name of the only `true' branch -- the Shi'ia.
Hatred of Israel is unlikely to unite them. Its not even that visceral compared to their rivalry.
However, that said, if anyone could find a way to stupidly unite the two by being way too posturing, its the neocons of the present admin.