I don't know that Islam can be removed from America. But its devout followers' desire to follow Islam's prime directive (to make Islam the dominant religion and law) could be curbed. In 1945, the McArthur government — the occupational government in Japan — issued an edict saying that Shinto (the religion of the Japanese that had fueled Japanese imperial militarism in World War II) would have no interference from the United States' occupying forces as an expression of individual piety, as the religion of any Japanese citizen. No interference whatsoever from the government. However, Shinto would have no role in the government or in the schools.
The distinction was made — it was imposed from without — that Shinto would have no way to express the political militarism that had led to World War II in the first place.
Now, the United States, Great Britain, Europe, are all facing a very similar problem, with growing Muslim communities asserting political and societal notions that are at variance with our ideas of the freedom of speech, the freedom of conscience, the equality of rights of women with men, the equality of rights of all people before the law.
If our governments had the courage to stand up and say that any assertion of these political aspects of Islam that are at variance with our existing laws will be considered to be seditious under existing sedition laws, there would be a tremendous amount of progress made on this problem.
But of course we're nowhere near that, because we can't even admit that there are such initiatives going on from the Islamic communities as such.
And so as long as this unrealism persists, then the cognitive dissonance will continue to grow. And as long as the cognitive dissonance continues to grow, so also will the assertiveness and beligerence of the Islamic communities in the West, because they will see that we are not able and not willing to take the decisive steps necessary to do anything serious to stop them.