I don't know, how would you do it? Do you think its impossible? The only thing that is impossible is for the politicians of either side to do anything because its a fake political crisis, both sides know that immigration and large amounts of it is ultimately going to be necessary to keep the country from collapsing, both economically and financially in terms of the states ability to fund the safety net for older citizens as native born birth rates are unsustainably low.
Imagine, for example, the world's most desirable amusement park resort. And its free, you just go the gate, apply for entry, and walk in when you show up. Or alternatively, you can climb the fence, and risk getting grabbed by security, then jailed until they figure out who you are, why you are sneaking in and whether to press charges against you, and then banned permanently from the park. Who would sneak in or form mobs to overwhelm the fence then? Nobody would, because it'd be stupid to risk that and more effort required than just showing up and going in the front gate.
Instead we've made it hard and grueling to do it the right way. The park only selects people that kiss the workers feet and beg for years and years to finally allow them to walk in the front gate. So they show up that morning with the five other people that have been selected, and then the five of them spend their day in the park with 10,000 other people who just broke down the fence in the back rather deal with the bullshit those five people went through.
Which park in the two scenarios above do you imagine would be the better place to go to and spend a day? And believe me I already understand that the politicians wont allow scenario 1 to happen, because they are all cocksuckers. I know that, but you will just keep pretending the one side you are fan of is just trying to do it the right way, and couldn't possibly work with the other side to change things, park 2 is just how it has to be, or whatever.