I admit I know little about Scbeer. I know in general terms that he's viewed as a social conservative, but I am not familiar with the details of his brand of social conservatism. I consider myself socially conservative too, but often find myself at odds with others wearing the same label. So the details will matter.
What I have read is that he favors CANZUK free movement but opposes free trade with China. That gives me the impression that he might be an ethnonationist in favor of a closed CANZUK. From my observation, social conservatism and ethnonationism often go hand in hand in Canada. That is often the main source of contention between me and other social conservatives and what can be a deal breaker for me.
Trudeau is in favor of at least freer trade with China. To my mind through, free trade is comparatively superficial compared to freedom of movement. With that in mind, Trudeau could easily outdo Scheer by supporting both an open CANZUK and freer trade with China.
Beyond that, I would like to know where Scheer stands on balanced budgets. I like a government that will reduce expenditure but not fanatically reduce taxes but to focus on paying the debt instead.
I would like to know more detail on what kind of social conservative he is. Again, many forms of social conservatism exist, some of which even I would find to be distasteful.