Unlikely. "Staple a Green Card to their diploma" is what Trump had to say about students from other countries that graduate from US universities. Since out of country students pay the highest tuition rates, universities love them and give them preferential admissions. Though not as bad as elementary and high schools, universities suffer from grade inflation and are reluctant to kick out paying customers, especially those paying the highest tuition. As a consequence, academic standards are being reduced at a rapid rate.
If you want to come to the US to get a professional job, attending a US university instead of a domestic one is going to be worth the extra cost when it guarantees you a Green Card.
There might be a reduction in the flow of low skilled labor, especially for those looking to hire workers without legal status, but up the middle class portion of the labor market, expect the system to continue to favor cheap imported labor over domestic labor.
If you want to come to the US to get a professional job, attending a US university instead of a domestic one is going to be worth the extra cost when it guarantees you a Green Card.
There might be a reduction in the flow of low skilled labor, especially for those looking to hire workers without legal status, but up the middle class portion of the labor market, expect the system to continue to favor cheap imported labor over domestic labor.