Mexicans too. But thats a global effect, immigrants usually vote anti-immigration - it seems paradoxical at first, but they have the the most to loose.
How is fixing H1B abuse by a few companies (Infosys and such) considered an anti-immigration stance? As far as I know, the proposed solution was not to reduce the yearly cap on H1B visas (which indeed would reduce the number of immigrants), but to put higher base requirements, so the quality of an average candidate is better and that qualified candidates don't waste years and years trying to just get the visa while being stuck in a legal limbo. If anything, the current H1B system is more inhumane, because qualified people are playing the visa lottery in hopes that they will not get cut by someone like Infosys who mercilessly spams the visa system with all the resources they have.