Overall, the Jews, Christians, and Muslims more or less believe the same thing.
The Jewish religion starts the timeline, going from Adam and Eve's time frame to Jesus' (not including Jesus) time frame. They basically believe that God has promised to send a savior for mankind, but that the savior has not yet been sent.
Christians believe that the savior has been sent, in the form of Jesus. They believe He died for our sins, thus saving us. Muslims also believe in Jesus, but as a prophet in a line of prophets that includes Abraham and Moses and so on. They do not believe Him a savior.
Muslims do believe that a savior was going to be sent by God, but rather than Jesus they believe the savior was Mohammed.
Both Christians and Muslims believe that their respective saviors will eventually come back and finally usher in God's Kingdom.
As far as the hate you sense, it is only from the most vocal ones of both sides. Moderate ones of both religions do not hate each other or Jews, and moderate Jews the same the other way. It is only the radical versions of these religions that hate, and they are unfortunately also the most vocal.
Members of all three religions overall could spend some more time learning each others' beliefs. Doesn't mean they have to follow the beliefs of the others, but it would be good for them to learn about those beliefs. It would cut down on a number of misunderstandings and fights between all three religions.