That's a typical rhetorical trick, to start with the most extreme example.
Instead, you should start with the most typical and easy examples, in this case, the teen-age illegal immigrants, who appear to be the great majority. Kick their a**es out immediately.
Then we can worry about the 6-year-olds.
For all of them, from toddler to teen: bus them to the border crossing and let them off. Its a Mexican problem.