Look I'm going to level with you, MOST immigrants aren't migrating away from war and oppression anymore. MOST are just just migrating for better education, better pay, and better condition... And not even by much due to the fact that migration these days (again in most circumstances) is done by those who can afford it.
The west isn't taking in the poor and huddled masses anymore. We need to wake up to that, we also need to wake up to the fact that billionaires use migration to lower local wages, lower union membership, and ultimately lower conditions.
... however, everything I've just said doesn't include remigration. Remigration happens to the people who weren't well off, or educated enough to come in via official channels.
In short, commercial migration should be reduced. It lowers local wages.
Humanitarian migration shouldn't be. They'll always be wars and levels of poverty or oppression that holds people back. That's what we should focus on. It's exactly the type of people subject to remigration that fall into this category.
EDIT: I do find it funny that this comment, which is simply making a distinction between migrants of need, vs middle class economic migrants - is the most heavily downvoted.