Arguably by force and you would say that many those worshipping the Abrahamic God do so falsely.
Do the Messianic prophecies imply that those events will NOT be catalyzed by force?
Why do you think Bar Kokhba was thought to be the Messiah by so many?
Zechariah 14 says the Gentiles will go to Jerusalem to obey Succoth, at threat of plague and drought.
With that said, I think those who converted by force alone and are only believers in name only throughout history have not been the majority. There was millions of Christians before Constantine even legalized it for a reason. Even if I disagree with their Theology. Besides, there lies the question of why those in force were given the authority to subjugate the pagan.
What is the prophecy supposed to imply, that all the world will be mind controlled to accept the Abrahamic god on their own? That some great philosopher will enlighten them to new arguments no philosopher has ever presented?