What happens when mom and dad face deportation

These boys are doing a great job, being the breadwinners, hopefully their parents can be reunited with them.

All the more reason to immigrate to the country legally. Don't put your offspring in that position. They are lucky one of them is an adult and can look after the others. The 17 year old sounds like he is mature as well.
The Parents could also make the decision to have their kids join them in Mexico until they can return legally.
My wife's family immigrated from Chihuahua in the 1960's. It took about two years to get the entire family (6 kids) over the right way, but they did it.