I’ve been following this story, and in my opinion, the rift between Turkey and Israel will fade away in a year or so and nobody will really remember, sort of like the US-French rift when the Iraq war started. In my opinion Turkey won’t align with Syria further, since Syria has NOTHING to offer Turkey, but Israel does. Can you name one Syrian company that trades on the NYSE? Me neither.
Also I have a somewhat bold prediction: in a few years, Iraq and Israel will sign a peace agreement. They won’t be best friends, but it will be a necessary agreement against Iran.
I agree it will fade away, but it’s a little more serious than the US vs. the French spat. The rift between Turkey and Israel is a deliberate policy of the current Turkish administration, which is Islamist. Once they are out of power the relationship will get back to normal, but not until then.