It wouldn't just be nice - it'd be smart. We could probably have more immigrant-owned business and immigrant-developed inventions of we made it easy for foreign born US graduates to stay. Both of which should add jobs to the economy and make the US more economically competitive.

I think everyone would support that kind of policy except where it would have an adverse effect on American students. The goal of policies like this are to promote USA students admission to higher education over foreign students. But the reality is that foreign student tuition is a huge money-maker. So USA students are at a disadvantage in the admissions process.