Why would any Lebanese Christian oppose Israel, even tho they fight the same Islamist enemy/?

Why would any Lebanese Christian support the Muslim states against Israel? Lebanese Christians, like Jews, have also been oppressed by Islam. The "Arab cause" is really just an Islamic cause. It was the PLO and Hezbollah and the Syrians who brought terrorism to Lebanon. Why can't the Christians of Lebanon stand up and support Israel, destroy Hezbollah, and join with the Judeo-Christian tradition? Why do they continue to be dhimmis?