While the sitting POTUS is in fact a Democrat, a lot of the revelations presented by Snowden (and the AG opinions blessing the illegal spying (and torture, etc)) where initiated under a Republican POTUS and for most of his tenure a Republican majority in Congress. And while we didn't have solid evidence before Snowden, it was fairly common knowledge that rights were being infringed upon in the guise of security (and ironically 'protecting our freedoms'). And I cannot really recall a GOP member being outraged about this then or now.
Regardless, both parties have been pretty absent in this debacle and typically, when a congress-person steps out from the herd and starts to question the legitimacy of it all, they typically get displaced in the next election.