If religions are, as Slavoj Žižek suggests, subjectifications of human predicaments, then just about any could serve as a medium for the expression cruelty based on repressed envy, violent nihilism and all round self-righteous vengefulness.
In this respect there is surely nothing special about Islam. Yet while it is certainly possible to make use of Christianity as the basis of a wholesale rejection of modernity (viz all the Mennonites in these parts), it would also be fair to say that in general this is one branch of monotheism that has made a series of accommodations with modernity over quite an extended period and that makes it a nichier option for this sort of lifestyle / all round bolshy attitude. Indeed, from the perspective of someone who thinks of their outlook as primarily non-western, Christianity can easily appear to be complicit with western mores and the global capitalist system as a whole.
And while it is certainly possible to characterise Christianity as, in some senses still an ‘eastern’ religion and Islam as in some senses, right from the outset, a ‘western’ one, the opposite is the more straightforward mainstream approach to this.
This is why someone living inside the west, yet experiencing this at least partially as an outsider, Islam is the more likely supernatural justification for the sort of love-hate relationship with modern emancipatory values that occasionally verges into violent rejection.
But religion is really just the medium here. The underlying cause is the modern western system and the way it fails to be properly inclusive.
So Trump’s plan, based on further explicit exclusion, would really represent a codification of the problem, and not anything resembling a solution.