That's probably pretty much what happened in Spain as little kingdoms moved from one side to the other. In the end, the organized Jewish affinity for kowtowing to the Moslems was a mistake. They were expelled along with remaining practicing Moslems!
Over the centuries, this position has been reconsidered and rejected. It was replaced with a forthright Zionist point of view which holds that Jews need not lick Islam's boots.
Lieberman would seem to be out of synch with modern Jewish thought on the matter.