There is no significant appetite in mainstream Canadian politics for any sort of constitutional change. We went through several decades of tinkering with the constitution to accommodate Quebec's aspirations in the late 20th century and with that behind us there is an aversion to having anything to do with that again. If you brought up the subject with anyone who had an idea of what would actually be involved in changing the constitution they would probably just vomit.Is there a very large republican movement in Canada? (i.e. ditch the queen. not Donald's lot). You don't hear a lot about it, even in the days of Daddy Trudeau when he was changing everything, unlike in ANZ.
We've got a system of government that works, people are satisfied with that and just want to get on with solving real problems that affect people's lives instead of engaging in vanity projects.
Justin Trudeau has a strong aversion to going anywhere near constitutional change and refers to Her Majesty as The Queen of Canada and says what a great honour it is to meet with her.
The way that David Cameron handled the changes to the monarchy with respect to male/female succession before the birth of Will and Kate's first child caused us some major constitutional headaches by the way that were very unwelcome here. Even something as minor that is an absolute minefield of potential problems if not handled deftly (which Cameron didn't do). If the UK can't arrange for Her Majesty to be immortal, then FFS please make sure the transition to the proper successor is as quick and smooth as possible without anyone getting any clever ideas.
The only active group that I have heard of recently who want to get rid of the monarchy and institute a republic are the far right, neo-Nazis and the like. They were on ARRSE a few years ago trying to recruit members by the way, and we had some discussions with them then (they were not made to feel very welcome).