"I don't, because a wall will not stop them. Walls don't make checkpoints more secure." Yes, they do. Border patrol agents will be able to divert focus onto the checkpoints because they won't have to cover swaths of desert; those large swaths will be covered by a wall and, I assume, motion detectors. Border patrol can implement c-scanning tech, x-ray tech, etc. given more funding to stop trafficking through checkpoints.

"Which is a fraction of the size and heavily militarized. Why do you think it will scale up?" It's a fraction of the wall, but it's not like we're comparing a backyard fence to a border wall. Israel's wall is ~500 miles, the US-Mexican border is ~2000 miles. We've got waaaay more than 4x the resources (population, wealth) of Israel and we're also a pretty militarized country (Isn't that a major talking point for the left? That the police are over militarized?). We were the first on the moon. I think we can manage to scale up Israel's wall.

I never claimed that a wall would stop all immigration, I even stated in my initial post that I'm aware a significant portion comes by plane. It is undeniable that a wall would drastically reduce the number of illegal immigrants coming to the US. Hell, even Trump's rhetoric of a wall has done that already. Fewer migrants are coming because they are afraid that Trump will be tougher on illegal immigration.