Most didn't come from Mexico, and they cannot seek asylum in the United States. They are supposed to seek it in the first country in which they arrive.
And the whole "asylum" thing is pretty much a fantasy. Let's assume that some are seeking legitimate asylum from Mexico. What is going on there that would support their case. Do you know of anything? Note that "looking for a job" or even "looking for a better life" is not a legitimate basis for asylum to be granted. Statistically speaking, 99.99% of them are not seeking legitimate asylum. They are trying to use asylum rules to gain entry, then get released, and be here illegally. And, the Dems support that...but not in their own backyards, which is really quite revealing and embarrassing for your side.
DO you deny that the Dems are encouraging the trafficking of humans across Mexico by the cartels? If you do, then your perception of reality is...flawed.