The JBS will not endorse anyone or anything that supports Israel.
One of their members actually wrote a book called The Rapture Cult (which is available online) which speculates that Dispensationalism and the Scofield Reference Bible were plots of the "Insiders." I was once given this book to read by a JBS coordinator--a book that basically labeled traditional Fundamentalist Protestantism the creation of "the conspiracy."
And people still think that. I won't post a link, but Charles Carlson (a former JBS council member) has a web site called "We Hold These Truths" that exists for the sole purpose of attacking Israel and Fundamentalists (it has a section labeled "Pharisee watch"). Mr. Carlson was a big fan of the Moslem Brotherhood takeover of Egypt a few years ago, but he thought the Jews were still "controlling" Egypt through the Egyptian central bank.
Earlier this year we had a slimeball who called himself "Philip Freneau" whose entire purpose was to attack pro-Jewish Fundamentalism, to label it as a creation of "the same forces" who created the Federal Reserve, and to claim that the Jews of two thousand years ago were fanatical devotees of sexual sin.
He ain't here no more.