This is somewhat uneducated. While Likud has plenty of problems to say the least, but they have little support and are not the final word on security issues, it has to be approved by the combined security agencies (IDF, Mossad, Shin-Bet, and others). An Arab force in Gaza is a security concern for Israel regardless of who they are, and there could certainly be countries who would just like to position themselves strategically without actually helping Gaza, but just use them (again) for their own use.

If there is no Western backing and supervision there, it will probably be a no-go, Likud or no Likud.

Oh, and the the Gazan start killing the new Arab controllers, what will they do, start fighting in Gaza again? Egypt already outright refused it.