In Daniel 7:1-12, the fourth beast in league with the Little Horn has the role of establishing up to ten religious paradigms that are in conflict with the worship of the God of Abraham, Isaac and Jacob.
Also, in Daniel 8 we are informed that the Little Horn will also be given an army to trample bot God Sanctuary and His Earthly Hosts over a period of 2,300 years before its completion when as told in Isaiah 24:21-22 that the heavenly hosts will be judged in Heaven. These heavenly hosts are also the beasts spoken about in Daniel 7 that stir up the sea such that they cause the sea to rise up and manifest the respective beasts/winds of heaven and their respective dominate characteristics.
Islam is one of the later religions that has had influence over people groups, nations, kingdoms and empires.
In Isaiah 24:21-22 we are told that the judged kings of the earth together with the judged Heavenly hosts will be imprisoned for many days to await the time of their punishment. In Revelation 20, we are told that when Satan is kicked out of heaven because no place could be found for him there, that he is to be imprisoned in the Bottomless Pit for 1,000 years before he and the other judged heavenly hosts and the kings of the earth are released for the little while period at the end of the seventh age.
The only influent that will operate during the 1,000 years that the heavenly hosts and the kings of the earth are imprisoned, will be Satan's Good and Faithful servants, who Satan has given large sums of money to impede the establishment of God's everlasting Kingdom.
We also know from scripture that during the first 1,000 years of the seventh age that many will come to worship the God of Abraham, Isaac and Jacob, but when the bottomless pit is unlocked and the prisoners in the Bottomless Pit are able to rise up out of the Bottomless pit, that many will fall away because of the signs and wonders that are performed and the impact that these Bottomless prisoner are able to exercise over the Saints during the little while period.
Whether or not the other religions of this present time will persist during the first 1,000 years of the Sevent Age is difficult to determine but what form the "new" religion will take shape is to far into the future from this present time to be able to image or determine.
For us today, the most important aspect is to establish an unshakable relationship with God that will persist until such time that we should die or Christ returns.
Shalom