Walls work. They slow down possible intruders. Why do you think people fence in their yards or the white house walls off their property. The sensors will alert them when a person is attempting to cross. The wall will give border control enough time to get there.
Nothing we do will ever be 100% effective but a wall is a great start.
We also need to make it punishable by death to cross our borders illegal
Laser carving the earth doesnt because its not possible atleast on that scale
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You say impossible. I say slightly inconvenient.