Question: What would Canada joining the U.S. do to our housing market?

Seeing a lot of pearl clutching in the media around the suggestion that Canada join the U.S. First of all, I imagine this is not a very likely thing to occur. However, I can't help but think that, at least financially, the majority of Canadians would be better off, and that the ones who would benefit least are Canadians who hold powerful positions because Canada is it's own country (e.g. Politicians, CEOs of companies (Telecoms, Media, etc.) who are protected from U.S. competition because we're a sovereign nation, etc.)

The one glaring benefit to Canada joining the U.S. that I see is that it would likely rebalance our housing market significantly. I've heard some argue that it is irresponsible for us to not consider joining the world's largest economy, military superpower, etc. because of the scheer number of our population that stand to gain.

What are your thoughts? Would joining the U.S. make our housing more affordable?