How would you rank Canadian provinces/territories, from most leftwing to most rightwing?

[King of Kensington]

The Prairie provinces (Alberta, Saskatchewan, Manitoba, in that order) are the most conservative, but it gets tricky after that. 

[King of Kensington]

Saskatatchawen has a similar vibe to North Dakota - a lot of big state mechanisms shepherded by a political tendency that is now largely defunct, but kept alive by a small c conservative party with little time for the ideological trappings of modern conservativism beyond lip service. Alberta's constant influx and churn of new arrivers, as well as its big cities, create a much different form of conservatism. In Alberta, lines like "saving/investing for future generations" don't really fly: for a lot of its residents, living in the state is a means to an end (and the end is making a lot of money). They don't really require as much government subsidy, because free markets are much better a providing services in a bustling metropolis than in your random hamlet 500 kilometres from anywhere (not that these places don't exist in Alberta, but they don't drive the politics to the same extent).

tbh this exercise is pretty difficult: the placement of the Atlantic provinces is especially hard. Outside of fact that Nova Scotia is probably a lot more "normal" a left-wing province than the others (containing both a prosperous bobo town in Halifax and a post-industrial region, Cape Breton); the only thing you can really say about them is they are very flexible with their voting, and tend to sour on governments very easily. Then there's Newfoundland, which has a weird split beween the rural areas and urban areas originating from confederation (i.e. the urban areas were conservative because they thought they could survive on their own, the rural areas wanted monies). N&L's Liberals (i.e. the people who won the confederation argument) fostered an extremely welfarist government, but without the labourism you might see elsewhere (if that makes sense). And of course, the only industry was famously killed off in the 90's, which creates more confusion. New Brunswick is probably the most conservatative of them (possibly due to language related politics). PEI ... has potatoes.

I also understand where people are coming from when they are labeling Quebec as the most left-wing province, but I also disagree.

New Brunswick in some ways resembles ME-02 and is the most conservative Atlantic province.  New England and Canada's Celtic fringe (Atlantic Canada) are rather different in their essence, but NB/ME have some similarities. 

The Saskatchewan / North Dakota comparison is also quite apt.  In his famous study of the CCF, Lipset called Sask. a "replica" of ND in its economic structure.

Alberta is sometimes referred to as Canada's Texas (oil, urbanized, conservative) but maybe it's more like Colorado a generation ago?

[King of Kensington]

From the same survey, we did an openness index (my boss has a huge interest in this measurement), which basically measures authoritarian tendencies. The lower the number, the more authoritarian the respondent. Here are the provincial means:

BC 5.90
AB 5.39
SK 4.59
MB 5.26
ON 5.83
QC 5.63
Atl 6.09

Atlantic Canada lives up to its reputation as being a very friendly place. No surprise, Quebec doesn't fair well there.

And "Friendly Manitoba" not so much.

[King of Kensington]

BC is of part of probably the most "genuine" cross-cultural region: Cascadia.  While in other provinces, the American spillover seems more minimal: yes there's some rusty parts of southern Ontario, but it's very differente from Michigan or Upstate NY, Vermont borders francophone Quebec etc.

[King of Kensington]

And given how much "demographics as destiny" drives American politics, it is hard to see Alberta as "more conservative" than Saskatchewan from that vantage point.

[King of Kensington]

Last year, Jason Kenney's UCP ran 15 points behind the federal Conservatives - which function federally as the "party of Alberta."

In Saskatchewan the Conservative vote more or less matched the vote of the Saskatchewan Party over the last provincial elections.

Kenney is a more polarizing figure than Scott Moe or Brad Wall though.

[King of Kensington]

Some data from the Provincial Comparative Elections project (2011-2013)

Market liberalism (1 = low, 4 = high)

NS  2.21
NB  2.24
ON  2.25
BC  2.25
NF  2.27
PE  2.34
QC  2.36
SK  2.39
AB  2.43
MB  2.43

Post-materialism (1 = high, 4 = low)

ON  2.51
BC  2.53
NB  2.57
QC  2.64
NS  2.65
PE  2.67
AB  2.71
MB  2.72
SK  2.74
NF  2.80

Post-materialism may too be jumbled together, it combines questions about environmental protection vs. economic growth, traditional family values, and racial and gender equality.

[King of Kensington]

Views on abortion, 62% are pro-choice, 70% hold generally liberal views on abortion. 

https://dartincom.ca/wp-content/uploads/2020/01/PostMedia-Abortion-Feb-F-1-2020.pdf

Quebec and BC are the most "socially liberal" on this question, then Ontario, then the Prairies and Atlantic about the same.