Doesn't work. Islam doens't do integration, it integrates you. Notice how, for example, muslim men can marry muslim women, but someone who wants the hand of a muslim woman must convert to Islam. Apostasy in Islam is also considered a very grave crime, and punished with death. It also means you will pretty much break with your family and clan forever, a very serious thing for such a society.
You need to utterly break any power Islam has in its society. Even then, you will probably have crypto-muslims until the cryptos eventually forget they were being cryptos, like with Iberian "New Christians".
You need to utterly break any power Islam has in its society. Even then, you will probably have crypto-muslims until the cryptos eventually forget they were being cryptos, like with Iberian "New Christians".