The single most effective remedy for illegal immigration is, in a word, DISINCENTIVE.
Clumsy word, but it sure works. If it isn’t worth the trouble, they won’t come.
Put a sign on your lawn saying “Free Food - Open House - Free Tutoring - We’ll Even Pay Your Doctor Bills - And More!” and see if you don’t attract a stampede.
When word gets around that the goodies are withdrawn, what happens? You can get the gate fixed and the front door rehung.
Not rocket science.
There are 400,000 "anchor babies" annually. They are American citizens entitled to food stamps, Medicaid, schools, etc. One in every ten children born in this country is to an illegal.