<> is not the symbol for inequality, either ≠ (originating from mathematics) or != (originating from programming) are.

<> generally imply "brackets" when used as a pair, but without any content in between them can be taken to mean "roughly interchangeable"

What you write reads as: "the Israel government is roughly interchangeable with Judaism" which seems to be the opposite of what you wanted to say.

Being critical of Judaism isn't anti-semitism either.

I'm critical of all organised religions, but I consider their followers victims and would never discriminate on religious grounds.