That kind of meddling has unexpected results. Republicans are notorious for making bad choices in their “raiding” of the opposition. In 1970, some TX Republicans went into the Democrat primary to nominate Lloyd Bentsen, who became the strongest TX Democrat since LBJ.
That may be so, but I am not going to tell my 80+ year old mother not to mess with the democrats. Besides, if Giuliani is the Republican nominee, it won’t make much difference who is elected.