I really doubt Jews and Christians would ever agree to this view of yours.
Muslim is Arabic word. which means
"A person who submit to the will of God". so all the prophets were naturally a muslim. Jewish and Christians would agree when prophet jesus will come again.
so All Good Muslims submit to the Will of God, because it is only God who have set the course of life to all people, If they deviate from the natural path, they will be punished, if you follow what God ordered you to follow and do, then you will be spared and you will not be punished, on the contrary you will be rewarded.
All Prophets, as they know God, they submitted to the Will of God, therefore they are all Muslims, they follow God's orders blindfully, without deviation.
If you follow God's words then you are a Muslim, but unfortunately you follow a corrupt teaching and book (The bible) ever since Abraham, God sent books with some prophets, so Abraham, Moses, David, Jesus, Mohammad, all had books
The bible was forges ever since Abraham time till Jesus time, by many people, through wrong translations, understanings, for personal reason to suit their needs and many more. so toafter 3000 years we find many versions (100s) they have different meaning of verses, you don't know which one is correct and you have assumed that Jesus is God, although it is very plain proof from the bible that he never said he was/is, on the contrary he always said worship the father, he himself even prostrated (fell on his face) in prayer to God.
Your faith is full of errors, misconception, wrong values,
While Quran was sent down on one person, a Holy illitrate person who could not write or read, he was not educated but yet he brought mavel, during 23 year the Quran was send on one person, unlike the Bible that was written by many many people and changed by many people and translated by many, even original script are missing the earliest copy is some what 200 years afte the death of Jesus (pbuh)
The Quran in its present condition, never changed from the original words that were sent on Muhammad by Archangel Gabriel. The number of letters, words, sentences , verses, chapters, all exactly the same no corruption and no change in them. We still read the same text as was Muhammad (pbuh) reading. It is the most pure, eloguent, original, ethical of all books,
There is no truth in the World but the Holy QURAN (The Words of Al-Mighty God)
that the Quran teaching is similar to that of the Torah and the Gospel as they were originally sent by God, but not in their present form
The Torah which is the pillar of the religion for Jews and Christians has been changed by the people during the course of over 2000 year or so. Jerusalem is never mentioned in the Torah (The five books of Moses)
We Muslims believe that Moses received the Torah and we believe that Jesus received the
Ingeel The Gospel and the Quran confirms the bookjs and confirms that what is brought in the Quran is similar to what is brought in the previous books.
This is natural they are all from GOD