Firstly, I think there that various belief systems needs to be highlighted amongst Christians and Judaism.
We believe that all the Prophets ie Solomon, Adam, David, Lut, John, Jesus, Muhammad, Noah, Idris, Job, Moses, Ibrahim peace be upon them all came with the same message that was to worship the one God, accept the Day of Judgement and Paradise and Hell.
Now Christians do accept that Prophets Noah, Moses peace be upon them for example did tell the people to worship the one God, the Day of Judgement, Paradise and Hell. It is only after Prophet Jesus peace be upon him's arrival that they say he there saviour (instead of the Lord of the Worlds, the creator of Prophet Jesus and Adam peace be upon him, who neither had fathers and nor did the latter have a mother). So in accordance with the Christians beliefs before they mention about Prophet Jesus peace be upon him we are correctly following all the Prophets.
With Judaism, they and the Christians have changed their texts (as with Christians saying that Prophet Jesus peace be upon him is a son of God, one of three-trinity). They both dispute, and complain that the Muslims say that they have changed their texts. But from their own mouths this is what the Judaism now says;-
-there is no Hell-the acknowledge that Jews in the past accepted Hell, but now say that this belief was received from pagan beliefs-so here they have clearly changed, as were is their proof that Jews did not receive the correct message, did they receive a new message from God to tell them there is no Hell?
-they now say that Satan is not evil, but working for God to test people.
-with the Prophets it was about giving a message to everyone who was a live at that time, not to a few select group of people, so to now make the whole idea of Judaism a "race" of people is wrong. Do they seriously think that when King David, Moses peace be upon them when they came they did not care for anyone else and didn't give the message the same for all??
It is important to accept that there is one God, the Day of Judgement, Paradise and Hell. As you then get groups like Christians who say kingdom will be in this world, but Paradise is already created and a seperate from this world.
Even with the mention that there is one God, was a threat to idol worshippers in the past, as they couldn't control the masses by having them give food, money whatever support to temples and keep their way of life going including being lewd and getting drunk. As worshipping the one God, you are free from looking towards anyone, stature, people dead or alive. The angels are worshipping, and praising the one God and so do the Muslims.
There is plenty of mention that people think those who are religious are influenced by their parents, society. Some references;-
-Going back at the time of Prophet Muhammad peace be upon him, people converted to Islam, knowing full well that they would be persecuted and attacked by the idol worshippers and even killed.
-The magicians at Pharoah's court had their hands and feet chopped off at alternative sides and died strung up, because they refused to take back what they said about accepting that there is a one God when Prophet Moses peace be upon him snake swallowed their illusion.
-Even at the time of Prophet Muhammad peace be upon him, people were disliked by their parents, relatives for choosing Islam.
The Christians and the Jews try to claim that Islam is a made up and brand new religion, when Allah only sends Prophets to give people the message of God, hence why they are called Messengers. It has proven if anything if we did not have the Prophet Muhammad peace be upon him, we would not have been helped to show the correct path of Prophet Ibrahim peace be upon him, from the Jews who care about if your family or not, or reject Hell fire, or from the Christians for the idol worship-as looking towards anyone as your saviour rather then the one God of the Universe is idol worship.