When you look at the history of asylum it was developed in reaction to wartime situations, not as a result of poverty, crime or any other negative social conditions that may plague many countries. The legal definition is very narrow and is only intended for unique situations:
Refugee status or asylum may be granted to people who have been persecuted or fear they will be persecuted on account of race, religion, nationality, and/or membership in a particular social group or political opinion.
A perfect example of genuine asylum would be a group of Christians being targeted and persecuted in a predominantly Muslim country. Honestly, how many of the millions of people showing up at the US border from all over the world, who are paying money to the cartels, are actually being persecuted (according to any legal definition), and more specifically on account of race, religion, nationality, membership in a particular social group, or political opinion?
Go watch when these people are interviewed, they always talk about either poverty, no jobs, crime, gangs, wanting a better life, etc. If any of you believe that such things should qualify for asylum, then what you want is for about 4 billion people or so to show up at the US border! Furthermore, we are under NO obligation to let all these people into our country even if they do wish to say that they are here to claim asylum:
i. A state’s right to offer asylum is well known in international law. It follows from the principle that each sovereign state is considered to have exclusive control over its territory and, consequently, over persons present in its territory. One of the implications of this widely accepted rule is that each sovereign state has the right to grant or deny asylum to individuals within its borders. In international law, therefore, the right of asylum has traditionally been seen as the right of a state, rather than the right of an individual.
In other words, none of these people have any right to be here, and we are under no obligation to allow any of these people into the country.