You have to be draconian with it by firstly closing mosques and Islamic schools down, and banning and prohibiting all sale and distribution of core Islamic texts such as the Qur'an and ahadith etc.

Then you have to work on decreasing the number of Muslims by waging a state-backed propaganda war against them, aimed at challenging their beliefs and values by exposing the flaws inconsistencies and inhumane aspects of Islam to them. This all the while simultaneously employing strong social discrimination against them and their businesses so their general standards of living fall to a point where the pros/cons of abandoning Islam become much greater than the pros/cons of staying devoted to it.

Deportations and a form of ethnic cleansing could also be used - though perhaps more as last resort.

So realistically what this means is that with the climate we have today in America and the West in general, with all the libtards and 'human rights' organisation, laws, protocols etc...Islam isn't going anywhere, it's pretty much here to stay and will probably be victorious in dominating the Western world in few more decades.