Well, assuming no Muslims fight being moved (unlikely), you could do it in roughly 2 years if you devoted the entire US domestic flight industry to the task — excepting planes unable to make flights to your island. That might stretch it out a bit.
There is the course the question of what island would be big enough. Australia, maybe, but the Aussies would fight it too, and would surely have allies.
/s
Never, can’t waste Australia on them.... maybe Madagascar. Might be a bit crowded but no worse than Hong Kong.....