Governments worldwide operate with executive leaders who have no support in Parliments.
Wrong.
Every single parliamentary democracy has the same thing in common; the coalition is built starting with members of the chief executive's own party.
Israel is a perfect example of that. Netanyahu's Likud controls a not-zero number of seats and forms the basis of the coalition government.
I'm not aware of any Parliamentary democracy anywhere in the world where the chief executive's party controls zero representation.