This, Isaac pointed out, is what we did during WWII when we opened the door for a huge amount of intellectuals and experts that were leaving Europe en mass as Hitler ramped up pressure against the Jews. Lets do it again!
In any case, I found a Foreign Policy article that ran in a similar vein called, "Think Again: Education"
The international distribution of mobile students is clearly changing, reflecting an ever more competitive global higher-education market. But there are many more foreign students in the United States than there were a decade ago -- 149,000 more in 2008 than in 2000, a 31 percent increase..... For international graduate study, American universities are a particularly powerful draw in fields that may directly affect the future competitiveness of a country's economy: science, technology, engineering, and mathematics. In disciplines such as computer science and engineering, more than six in 10 doctoral students in American programs come from foreign countries.
But that doesn't mean there's nothing to worry about. Although applications from international students to American graduate schools have recovered from their steep post-9/11 decline, the number of foreigners earning science and engineering doctorates at U.S. universities recently dropped for the first time in five years. American schools face mounting competition from universities in other countries, and the United States' less-than-welcoming visa policies may give students from overseas more incentive to go elsewhere. That's a loss for the United States, given the benefits to both its universities and its economy of attracting the best and brightest from around the world.