In Islam, we believe in all the Books of God
And we believe in all prophets of God, Noah, Lot, Abraham, Ishmael, Issac, Jacob, Aron & Moses, David, Solomon, Jonah, Zakariah, John, Jesus, and Muhammad peace be upon them all.
We are taught to follow all prophets of God because they are the ONLY Way to Heaven.
1. During the time of Noah (peace be upon him), he was the way to God. Those who followed Noah were saved physically and spiritually.
2. During the time of Moses (peace be upon him), he was the way to God. Those who followed Moses were saved physically and spiritually.
3. During the time of Jesus (peace be upon him), he was the way to God. Those who followed Jesus were saved physically and spiritually.
4. During this current time, the time of Muhammad (peace and blessings of God be upon him), he is the way to God. If you want to be saved physically and spiritually, then you should follow him.
That's why you see Muslims following the teachings of all the prophets.