Not a huge fan of the Israel situation but it does seem like they often stay out at the US’s request:
During the 1990–1991 Gulf War, Iraq carried out a missile campaign against Israel, in which it launched 42 modified Scud missiles (designated Al-Hussein) at Israeli cities with the strategic objective of provoking Israel into launching retaliatory attacks and potentially jeopardizing the multinational coalition formed by the United States against Iraq, which had full backing and extensive contributions from other Muslim-majority states; Israel did not respond to the Iraqi missile attacks due to American pressure, and Iraq failed to gather support for its occupation of Kuwait.