In a very short time, opposition to Common Core has evolved from a fringe Republican position that blue-staters laugh at to a position that clearly wins out in blue New York. When independents break against something by a 14-point margin, politicians generally look awkwardly for the escape hatches.
The question crosstabs show that the only group still strongly in favor of the CC (at 60%) is African Americans. This was a key marketing strategy for CC proponents but was always a little strange, since African American opinion doesn't exactly drive American educational policy.
Common Core advocates might have found it useful in the past six months to have an actual organization dedicated specifically to promoting the Common Core, with a file cabinet of substantive but readable analyses of the Common Core's benefits compared to other standards. Apparently those things did not seem necessary a few years ago.