Our country is so huge that assimilation is pretty much inevitable, unless you completely cloister yourself like the Amish.
My chief concern is that we are turning our backs on 4,000,000+ desperate people who need help.
As noted in the videos in the OP, these are largely women and children.
As for skillsets, the professional class was among the first to leave. Doctors, lawyers, investment types, etc. There is no shortage of that that we should welcome, although I wouldn't want to limit it to just those lucky enough to have gotten an education in a system like Syria that openly favored some groups over others for religious/ethnic reasons.