Cruz is not going to deport/kick out every illegal immigrant in this country. He has said secure the border (like Trump has said) and then deal with the ones here. Neither of them support full amnesty, but they will not say that they will send every one of the tens of millions of illegals home.
I can provide quotes and links if you like but I prefer you do your own homework.
I like and support both Cruz and Trump at this point and they are very similar (and correct) on illegal immigration. Sending millions of people that are here home all at once is a pipe dream. Not going to happen and they are both smart enough to know that, but they both will stop the tide.
I think we should throw the problem back on the illegals themselves. It is their personal immigration problem so they should go to immigration lawyers and see what can be done—paying those lawyers out of their own pockets—not the taxpayers pockets.
We cannot realistically have every last illegal moved and we have to realize that this is a can of worms that the illegals have made for us as well as the deceiving politicians. But first we have to do is to keep more of them from moving in and we have to make them know that we are serious by making them take care of their immigration problems on their own. Let them figure it out themselves. It is going to take a long time and not all illegals will be removed but many will. We have to take welfare benefits away from them that is one way of letting them know that we are serious. Also, many immigrants voluntarily go back to their native lands so there will be lose many illegals by attrition.