President Trump will let them stay regardless of what the GOP wants because it's what /he/ wants and frankly what his supporters want. I think it's more proper to call them anchor babies than merely illegal aliens imo, but either way it's not their fault their parents broke the law.
I personally don't agree, why didn't these kids get citizenship while under DACA? I say if they applied for citizenship under DACA then let em in, but if they didn't, and they just milked the generosity, throw em out. Unfortunately, I'm not President Trump so I'm not soft on DREAMers.