Religious belief is a matter of religious belief. In order for Jews to recognize that Mohammad (pbuh) was their prophet, they would have to deny their own history (i.e. Avraham attempting to sacrifice Yitzak, not Ishmael, etc...) and their traditional religion, Judaism. This has nothing to do with hatred, but reconciling the information available. A better analogy would be: denying the Kotel (and Temple Mount) is Jewish is like denying the Kabba is Arab.
Iraqi police fire tear gas as thousands of protests burst into Green Zone, storm Parliament (AP)
from the article: U.S. condemns Palestinian claim that Western Wall 'isn't Jewish'