The Department of Justice did conduct public opinion research. It initially showed that Canadians are supportive of MMPs at the outset, but once they're informed about the negative impacts on the criminal justice system, they overwhelmingly support an approach that's more nuanced and that's currently permitted under the law.
I don't want to purport to speak on behalf of all victims, because they're not a homogenous group; however, as part of the 2017 national justice survey conducted by the Department of Justice, most Canadians responded to a survey that they were not supportive of MMPs, with 91% indicating that Canada should give judges flexibility to impose sentences that are less than the MMP.