Should the US build a physical barrier, such as a wall, along the US-Mexico border?

No and it is not convenient to build a border. The amount of resources and man hours to build the wall is way to expensive. The wall would have to be guarded at all times. The trump administration wanted Mexico to pay for it but that is ridiculous. The border would have to be miles long and high so no one could climb it.

"as the band marched across the crowd field cheered"