i don't know what "woke" means, or what "woke authoritarianism" is. i know what authoritarianism is, and it is right-wing. i agree that the bill was an attempt to enforce a right-wing authoritarian conservative perspective on the general populace.
polievre's response doesn't appear to be very liberal. his position is broadly ideologically equivalent to trudeau's, but they seem to disagree on what type of expression should be restricted. it's consequently better described as a nitpick than as legitimate opposition. polievre and his conservatives would enforce an equally right-wing form of authoritarian conservatism, they'd just choose targets like transgendered people instead of focusing on "hate speech".
neither party is advancing a liberal agenda, which would be to promote free speech on the internet. the ndp certainly didn't promote that either.
the people's party might be the party closest to that position, and consequently the closest thing to a liberal party, which is probably why they succeeded in substantively cutting into liberal party support. as mentioned previously, this is extremely dangerous, as the people's party has immensely regressive pro-market political positions. if they ever won an election, they would ruin the country's economy and destroy it's social safety net. however, they are the only party actually supporting free speech, which is the position almost all canadians actually support.
if this ever became a ballot issue, and canadians got legitimately fed up with the government trying to tell us how and what to think, the only outlet is the libertarian right. that's an extremely frightening proposition.