About Illegal Immigration

Howdy, Everybody;

A simple question or three about illegal immigration:

Did each individual illegal immigrant break a U.S. or state law? - Yes, by definition.
What is the law they broke? - They entered the U.S. illegally.
What is the penalty for breaking that law? - Deport them.
That seems simple enough...

Now, for those who wish to stay here:
Is there in place a method by which a person can immigrate to the U.S.? - yes.
Why don't the immigrants use it? - Just guessing here, but maybe because it takes too long? Or maybe, because if they were here legally they'd have to pay taxes (after all, right now they get free schooling, medical care, etc. that I have to pay for)?

Now, for the U.S. and state governments:
Why are we not enforcing our laws?

Just curious...
-Pop