It's more likely that they depise the religious right because it so strongly embraces what is, essentially, the ultimate Jewish heresy: Christianity. It is the religious bigotry of such Jews, not their fear, that fuels their hatred. The religious right is the Christian group that is most sympathetic in its views regarding Jews in a religous sense to be found in America today.
To the extent that fundamentalist Christians and Jews are at odds, it is because they clash on important social political views: on matters such as abortion, gay rights, capital punishment, second amendment rights, and church and state separation. But again, most of these matters are really political at their core and trace more to the differences between the urban and provincial social backgrounds of the contending groups than they do to religious factors.
Historically, American Jews felt alienated from the Republican Party not because that is where the Christian fundamentalists were found (it was not). Rather, it was because country club establishment Republicans, the party of the Rockefellers and Fords, were infected with a strong strain of anti-semitism and worked hard to exclude Jews, especially successful Jews, socially and professionally.