On what basis are you equating the CPC with the Democratic Party in the US?
There is no perfect alignment. I would say that the mean of the Democratic Party would fall somewhere near the mean of the Conservative Party of Canada (CPC) in terms of voters' opinions.
Both are "free-market blah blah", but I would bet the
average CPC voter in Canada wouldn't want to scrap public health care, and the Democrats would want to introduce it... the only way the CPC got anywhere close to where they did was because they dropped that private health crap from their (revealed) platform.
Both of them were to the right of the Liberal Party of Canada (LPC) on financial regulation pre-crisis. The Clinton administration, for one, holds much responsibility.
On social issues, their mean support is kind of similar. In fact, I bet an atheist has a much better chance of being CPC leader in Canada than with the Democratic Party. Both parties would rather just not talk about gay rights, abortion, etc. due to the risk of fracturing its own divided voter-base.
An personal, anecdotal experience shows that many, if not most CPC supporters in Canada find the Republicans repugnant. They hope Harper wins at home and Obama wins in the States. I think a proper poll on that would really interesting.
That being said, it is very difficult to compare a multi-party country to a two-party country. The Democratic Party has a tail of its voter spectrum that stretches to the left of the LPC and into NDP territory, as there is no major party to its left. The CPC has a tail of support that stretches well into the loonie fringes of Republican territory, as there is no major party to its right.
The voter distributions are complicated and do not overlap well. It is just their mean support that is fairly close. That being said, you could argue that the Democrats are
maybe at the separation point between the Liberals and the Cons. If you could divide the CPC into its Reform and Progressive Conservative components, then you could say that Reform is to the right of the Democrats on the majority of issues. But even then, the Democrats are at least as religious.