When we arrive at an outcome that is intended it's not accurate to describe it as luck or lucky. There are those who legally and intentionally migrate annually to the US for seasonal work. These are legal migrants. There used to be far more of these then there are today. There are also those who legally apply to work temporarily in the US and cary what's known as a "green card".
They are 'documented'. There is another group who intentionally and illegally cross the border hoping to establish residence in this country and or work without permission or a "green card". There used to be far less of these then there are today. The shift is not accidental. It has a lot to do with the relatively hopeless conditions they are trying to escape. An undocumented alien is an illegal by definition. Whether we agree on the efficacy of the law that bars their entry the reality that they have entered the country illegally with the intention of working and or establishing permanent or semipermanent residence without permit or permission is a fact; an undeniable one. To call this group migrants clouds the issue. If we are to have borders then we must agree on what our 'borders' are and what having them means. If we're to exist as a nation of citizens then we have to agree what the requirements of and for citizenship are. If we stipulate that we can ignore the rules if they don't suit us or because they are unfair or racist then we must be prepared to accept the consequences. This is where we are today. It appears what you are recommending is a form of civil disobedience on the basis that the laws are unjust. It may be true that US policy on immigration is racist and biased against people of color. If you believe that this is the case and this 'offense' by the state justifies breaking the law then you should argue that position as the core argument and encourage others to do the same. The desire to have a better life is universal and understandable. It cuts across all cultural, religious, national, and ethnic boundaries. The exodus we are witnessing is driven by the miserable grinding conditions and lack of opportunity that condemn generations of poor to a hopeless existence in their native lands. The greater the difference in pressure on either side of a semipermeable membrane the more material will pass through it until eventually the pressure is equal on both sides. When equilibrium is achieved there is no longer a need for a membrane. For every particle that enters another will exit. Conditions on both sides of the membrane will then be equal. It is a far better outcome for all to see conditions on the other side of the border raised.