One of the MAIN reasons the so-called Jews do not believe in Jesus (PBUH) comes from Jesus himself. I'm referring to Mathew 12:39.

Jesus closes the door on any other possibility because he said the ONLY sign of the Messiah is that "AS Jonah..." which means the time frame that the prophet Jonah experienced will be the same for the Mesiah. "AS" means equal to. Jesus was not in the grave 3 days and 3 nights. Taking another or a deeper look into the two situations; Jonah was alive when he was jumped overboard. He (Jonah) did not die in the midst of the raging storm. He (Jonah) was also alive when we was swallowed by the fish (whether the fish was literal or metaphorical). He (Jonah) was alive the 3 days he spent in the belly of the said fish. And he (Jonah) was alive when he was regurgitated up upon the shore. Now when Jesus was up on the cross he too was alive. But what was the state of his being when he was taken down? What was his state of being when he was put in the septulchre and how many days was he there?

If this is the ONLY sign to be given is the sign of Jonah, then Jesus does not fulfill that sign.

And as far as what the muslims believe, they believe that Muhammad is the Seal of the prophets; meaning there will be no other prophet after him. The Messiah comes at the end of time and Muhammad (PBUH)lived and worked among his people over 1400 years ago.