How can we trust the Quran to be true, when there are so many versions of a book that was supposed to be set in stone for all time?Muslims consider said prophets and messengers to be Muslims. They don't consider them the Prophets of those other religions, per se.
The reason they should convert to Islam is that Islam came with the newest revelation. The same way you expect people to follow the most recent traffic laws instead of the old abrogated ones, Muslims expect that the followers of Judaism and Christianity will follow the new law and the latest prophet instead of the old abrogated laws.
There is no need for Muslims to crush them, but for sure the worst punishment possible is in the hereafter.