Boy, I reenter this thread with some trepidation. I have been giving this some thought.
It occurs to me that the major issue here is two-fold.
1) Certain parties are demonizing individual immigrants. They're criminals, diseased, drug dealing/addicted scum who don't belong.
2) By redirecting peoples anger at the migrant themselves, those in power are too busy point scoring to discuss the matter in the correct manner.
For point 1, I make the point I made earlier. If you were in a country/situation where you could not feed your children, or yourself, or you were going to lose your life due to persecution or bombings from various factions, what would you do for your family? I hope the answer is that you'd do just about anything. As such, the aspiration to move to a place of (relative) safety is to applauded. What price would you put on a young life? The desire to protect, and flourish, isn't a bad thing, it's a good thing for us all.
For point 2, I ask "what is the path to a solution?" There is the idea that if countries (and this is truly a global issue, not based in anywhere exclusively) didn't try and help migrants, then "our own" would get more assistance. This is a false premise. It's simply not how government works, it's not how social funding works, and it's never going to be the case. If the government (and it's successive governments, not any single one) wanted to help vets, they could. Today. Migrants or not. If they can find money to support wars in Ukraine and Israel, they can find money to house vets. There simply isn't the political will to make it happen.
We should all remember, and keep in mind, that country is letting migrants into the country on a person by person basis. That is, they're not interviewing them as assessing whether their case is sympathetic enough, or that they have the right qualifications, etc. Again, this simply is not how it works. What happens is the migrants have to go through a process, and at each step of the way the authorities will follow the law. Migrants are walked through the process, step by step, but there's no special dispensation. The rules are the rules.
As such, if you think too many Migrants are being allowed in, the answer isn't to attack the migrant, you should be going after the lawmakers. They are the people who can pass tighter restrictions. Too commonly, the media (mostly the so called Alternative Media) attack the migrant, when the migrant is simply trying to stay alive. If you look at the numbers, the vast majority of migrants are not economic migrants, they're escaping war/famine.
Of course, you have two kinds of entry - through normal port of call, or "jumping the fence". The latter has been common in the US (from Mexico), as noted earlier in the thread, for decades. But of course, people doing that aren't registering as a migrant, so only estimates exist.
I think the best place to aim your anger is at the laws in place. We should also remember that if we choose to bomb a country, we are likely to start a migrant problem from that location (if you look at the list of countries where most migrants originate from, it's a list of war-torn fascistic regimes).