Fortunately, in the last few years, H1B visa-holders have gotten organized. They've started the Immigrants Support Network, which counts 15,000 members. Gala is its president. They are pushing a Senate bill which would help their tenuous status. Still, because of that status, many are afraid to make waves.
Immigration can be a great boon to America's economic growth, but it's a two-way street.
Just as it's not good enough to depend on the labor of the undocumented and then look the other way for employers who exploit them, it's not good enough to rely on the skills of high-tech workers and then turn them over to fate.