There is no way the current bench on the Supreme Court of the United States of America does any sort of interpreting towards a stronger administrative state, regardless of popular support for it.
MPs, MPPs, MLAs, etc., that belong to a party typically don't deviate from the party line, even if it means going against their own constituents' wishes and interests, especially for prominent issues.
A party typically has a member who acts as what's called the "party whip", and whose role is to ensure the rest of the party's members vote as the party wishes them to, and to punish those who might not.
Voting against one's own party doesn't guarantee that that a representative will be kicked out of caucus, but it certainly has resulted in expulsions in the past (Nunziata, Casey, and Karahalios are cases I can think of off the top of my head).
I think it's reasonable to believe that Canadian politicians represent their party and themselves to a greater degree than they represent their constituents.