I come originally from Alberta, and I have certainly met my share of people whose opinions would not be anywhere close to the centre of American politics.

Broadly the conservative right in Canada tolerates socialized medicare. They'd gladly and instantly throw it under the bus the moment it being politically possible to do it. But for now at least it's still poisonous to make those opinions known.

Former PM Stephen Harper worked for the National Citizens Coalition for a period of time, and that organization was explicitly founded in the late 70s to oppose and try to stop/end public healthcare and the Canada Health Act.

I suspect if you get them in private and off the record, most Conservative leaders would admit to desiring to see change here.