The Christian Right is a minority in the U.S., though a powerful one. They are not the only reason why Israel has a lot of power. It is mostly due to its foot soldiers amongst American Jewry, who represent a minority of American Jews. They are effective, none-the-less and know how to direct their resources. As far as religion, I can't say that Evangelical Christian shares the same God with Judaism whil Islam doesn't. Islam is very close to Orthodox Judaism. The women cover, they don't eat pork, Muslims seek out kosher food, Muslims sometimes wear something that looks like a kippa. Christianity has the trinity which is a problem for Judaism. Orthodox Jews don't like Christianity necessarily or Islam. They use Christians because they think it's necessary for protection. The Christians also use them.
from the article: Secret Israeli report: U.S. cozying up to Palestinians