—*Right-wing complaints concern the loss of local control (a myth, as every state already had its own standards), the federal takeover of schools (confusing CCSS with NCLB or RTTT), and the unfairness of increased rigor. Left-wing complaints have mostly to do with tying standards to accountability of teachers, overuse of assessment, and the corporate takeover of schools (as though there never was a multimillion-dollar textbook industry). Both sides complain about the suddenness of it all, as though seven years were but a blink of the eye. Most of the complaints could have been avoided by a decent rollout and much better use of the media. Shades of Obamacare.
LATER: It's worth pointing out that thousands more teachers were involved in the vetting process—on the draft analysis teams; via NCTE, NEA, AFT, and NCTM; and as part of the public comment periods (along with parents and others). Far more teachers were involved with the creation of CCSS than with the creation of the rather wretched and confusing NYS Standards or any other state's standards that I'm aware of.