Sounds like the Catholic Church has some revision or clarification work to do on that catechism.
If the Muslims are worshipping a God that says you can forcibly convert someone to Islam - and that Christianity and Judaism are lies, then who really cares if they *say* they worship the 'God of Abraham.' If they think that God allows this kind of act in his name,they are not worshipping the same God.
That right there pretty much proves it's not the same god. The God of Abraham never said everyone should be Muslim. The God of the Jews and Christians moved people away from polygamy and made marriage between one man and one woman a sacrament, allah wants them reverted back into polygamists. The God of Abraham made the Jews his chosen people but supposedly allah wants the Jews killed and calls them monkeys. They seem like opposites if anything.
Christians did lots of forcible conversions in the medieval and Reformation period. They forcibly converted Indians, and Protestants and Catholics did much forcible conversions of each other.
Old Testament Jews, of course, were more tribal, and hence, not into forcible conversions. They simply killed you if you had land they wanted.