Two things to consider: first, is this is Canada’s imperfect democratic system and I do wish for reform, but it’s what we have. The second is that it isn’t a fair comparison to look at just the Liberals and not consider the other parties mandate stances:

“The People's Party was the only party opposing vaccine passports, mask mandates and lockdowns”

The PPC received 4.94% of the vote, which implies more than 90% of voters chose a party which in some way supported mandates.

The majority of vaccine mandates are provincial. The federal government has only issued them for workers in federally regulated industries.

https://en.wikipedia.org/wiki/2021_Canadian_federal_election https://en.wikipedia.org/wiki/COVID-19_vaccination_in_Canada... https://en.wikipedia.org/wiki/COVID-19_vaccination_mandates_...

The current ruling coalition includes the Bloc Quebecois and NDP, and they in total have > 50% of the electorate.

Welcome to a parliamentary system where coalitions are often required.

So yes, Trudeau has the will of the majority. Plus 2/3 of Canadians want the protest ended even with military force.