Some would welcome the reduced influx of immigrants. But in the long term, it would cripple the US. If an individual can convince a company to sponsor them, they are already highly qualified and productive to society. If you deny even these people from immigrating here, then who would you let in? You turn them away and China or the EU would gladly take them. Meanwhile, you lose a significant portion of your workforce that contribute tax without ever withdrawing from it and a lot of research and development at the PhD and master levels done at minimum wages.
The current situation benefits the US a lot. There is a reason why they are hesitating to make any big reform. The US is having the chance to exploit the world's best and brightest all for a few pieces of paper a year. At most there are 140K permanent residents being made each year via this route. It is insignificant compared to the millions of US college graduate annually. The argument about "they took our jobs" is not really valid to me.