Maybe not "get rid of" but plenty of other fingers are pointed at them. They get "free housing" (which they fill with drugs and kids), they get "free food" (which they use instead to buy alcohol), they get "free cellphones" (which they use to run drug rings), etc.
It's usually about how the poor get Foo for free, which everyone else has to pay for, and also about how they misuse Foo for nefarious reasons. The commons then get riled up, either because "Hey, why do they get free housing when I have to spend tons of money?" or because of all the nefarious things they supposedly do.
If people say the "free Foo" being offered, I wage many would choose to keep buying better quality Foo. These people are not offered luxury. It can barely be considered essentials.
I agree with your point, but food stamps can be used to buy drugs and alcohol... Buyer generally pays ~50% cash value. Very common for addicts to hand the EBT card over to dealer on the 3rd, but the vast majority receiving assistance use it honestly.
When you say "they" are you talking about the local US citizens doing these things, because "they" are doing it too. Comments like yours that word it so that it sounds like all crimes are being committed non-citizens which is such a fallacy it's laughable.
I used the word "they" on purpose, because the target seems to change often. It might be lower class, it might be immigrants (illegal and even legal), it might be $racial_minority, political faction, etc,. As long as it's a group that people can blame, it works.
It's usually about how the poor get Foo for free, which everyone else has to pay for, and also about how they misuse Foo for nefarious reasons. The commons then get riled up, either because "Hey, why do they get free housing when I have to spend tons of money?" or because of all the nefarious things they supposedly do.