Muslims say that Islam _was_ the religion of all the prophets you've mentioned. Because of this they also believe that Islam is the _oldest_ religion, since Adam, the first man, followed Islam.

“Islam” as a named religion with its own prescribed rituals and laws is specific to the message preached in Arabia in the 7th century.

“Muslim” is a more transcendent term that encompasses all the prophets mentioned in the Quran, as well as those not mentioned. Their creed and state of mind (absolute submission to God’s will) is the same, but they did not follow a religion called “Islam”. Earlier prophets and their followers prayed, fasted, and gave charity. Some even made the pilgrimage to Makkah. However, certain details of these rituals may have differed between them and today’s Islam, and between one another.