This meme is only 1/3 true. Emperor Heraclius issued an edict to kill, convert, or expel all Jews in the 7th century because they turned into traitors, threw open the gates of Jerusalem to the Persians and started a massive World War (at the time, it was one of the largest ever in history) that ended with a near total exhaustion of the Byzantine empire and the complete destruction of the Persian Empire.
Afterwards, Islam exploded onto the scene, slaughtered the remaining Persian empire and enslaved the women, and then proceeded to take over the entire Middle East, capturing the Church of Antioch, against the severely weakened Byzantine Empire.
Thus, without Talmudic Jews, there would not be Islam today.