My solution would be to offer fewer H1B visas and more visas on a naturalization track (sorry, don't recall the exact name for those) for skilled workers.
After all, what we ideally want is for skilled people to come here and stay, not come here, endure abuse, trash wages for Americans, and then bolt for home with what money they've saved and a bad opinion about America; right?
See one of my previous posts. H1B visas are dual purpose. They are both immigrant and non-immigrant visas. When I first came to the U.S. from Canada, it was on an TN visa. But to be eligeible to *apply* for permanent residence, I had to be switched to the H1B. The H1B was designed as a gateway visa to permanent residency via employment sponsorship. The visas you are refering to are the EB class for permanent residency. The hard part is that there are fewer of those than there are H1Bs and the wait is years longer to bring someone in under an EB visa. It's easier to recruit them under an H1B (even easier for a TN), then adjust status while already working in the U.S. from H1B to EB. It's so long that there are people who need 7th and 8th year extensions on their H1Bs (a 6 year max visa) to get an EB visa.