You're describing more or less every legal system in existence for at least the last few centuries. It is often close to impossible to go through a day without breaking at least one law, usually a multitude of them. Such infractions are not acted upon until some power-that-be deems it necessary to get a handle on a person.
As to the sudden insistence on due process when it comes to deportation of illegals I do wonder why this was not an issue when the previous regime let in millions of people without any regard for the laws of the land - i.e. due process. Is it the intention to make it impossible to correct this flagrant violation of migration laws by suddenly insisting on having every single individual go though a lengthy legal process, clogging up the courts?
What you say may be true with respect to breaking laws. But illegal immigration is one of those relatively small infractions, and only now is there some sudden insistence to prosecute all of them and deport them. So this is a self-made problem.
All of the evidence available to us shows us that migrants, on average, commit less crime than U.S. citizens. The evidence shows us that they pay into social programs without reaping almost any benefit. The evidence shows us that they take jobs that the average American isn't interested in. An evidence-based political program would not target migrants as a first priority, except to provide some more straightforward way to become documented and legal.
The other issue is -- the U.S. has 300 million+ citizens. This argument that migrants will "clog up" the courts seems ridiculous if you also believe U.S. citizens deserve due process. If your court system can't handle a relatively small percentage of your residents committing the crimes you have on the books, then maybe those crimes aren't really serious crimes are they? Or else not funding the courts appropriately to satisfy the political program is purposeful. The goal is to avoid due process and accountability, for citizens and non-citizens alike.
As to the sudden insistence on due process when it comes to deportation of illegals I do wonder why this was not an issue when the previous regime let in millions of people without any regard for the laws of the land - i.e. due process. Is it the intention to make it impossible to correct this flagrant violation of migration laws by suddenly insisting on having every single individual go though a lengthy legal process, clogging up the courts?