The other part about illegal immigration and the spike in asylum seekers (they are conflated a lot but are two different things, fwiw) is that the debate is completely uncentered around actually fixing the problem and more about short term band aids. Militarizing the border and forcing asylum seekers to apply for asylum in other jurisdictions, those are band aids.... they don't solve the problem of people making the choice to trek 1000s of miles to try to get to the United States.
The only real way the problem is truly solved is through policy change and cooperation with origin countries that involve helping to raise the standard of living enough that it dissuades people from deciding to make that trek.... but OTOH, the people who are most animated by the border tend to be the same people who want to indiscriminately cut foreign aid and think it's all a waste of money, so my guess is that we will be dealing with the status quo regardless of who is in office going forward.