That's the answer. The clock starts ticking as soon as criminal invaders are captured. Give them 20 days, with ready access to a hard-line immigration judge, to prove they have some legitimate "claim" that justifies their criminal entry into our country. If they pass, give them a lie detector test that they must also pass. If they fail either in immigration court or with the lie detector, and about 99.9% should fail, then deport the entire family. No exceptions. If someone is coaching these criminals on what to say to claim asylum or refugee status, that sounds like felony conspiracy. Track them down and prosecute them.
The nice thing is if we stop the inflow of new illegals, that will then give us a chance to cut down the backlog of illegals awaiting their hearings. Take them out in reverse order - last arrival, first hearing. Nominate and assign the most hard-line, rule-of-law immigration judges imaginable. Those who are deported, perhaps 99% plus of illegals, should be fined heavily to cover the costs of enforcement actions. Pretty soon, no illegals will bother coming here, and pretty soon the illegals we have will go back to their real homes without waiting for their hearings.
I have no problem with legal immigration. However, immigration should be limited to a rate approved by Congress and to merit rather than diversity or family relationships. Immigrants should only be approved if their presence would benefit the United States as a whole and working Americans in particular. There should be strict requirements for assimilation and learning the language. But subject to those constraints, I'm okay with legal immigration. Illegals? Nope. Deport them all. No exceptions.
No person who EVER crosses the border illegally has a legitimate claim. If they had a valid claim they would cross legally. Crossing illegally is confessing that they are trying o attack these United States and they should be dealt with as non-uniformed enemy combatants.
Not deport. Execute. Once you execute the first couple dozen the rest will stay on their own side of the border.