Varieties of criticism
Conservative criticism has nothing much to do with "left-wing" or "right-wing", because left-wing people are often very conservative, in the defined sense, while right-wing people can also be very radical, in the defined sense. The difference between "radical" and "conservative" has more to do with the belief in whether "a change to something genuinely new" is really possible and necessary. Radicals typically believe strongly that such change is highly desirable and necessary, and that it can be achieved. Their criticism is that there is "not enough" change. Conservative critics, by contrast, are very skeptical about any such change, because they feel the change is really "just another form" of something that already exists.
Christian right
Religion has been a key factor in Canadian politics since well before Canadian Confederation in 1867, when the Conservatives were the party of traditionalist Catholics and Anglicans and the Liberals were the party of Protestant dissenters and anti-clerical Catholics. This pattern largely remained until the mid-twentieth century when a new division emerged between the Christian left (represented by the Social Gospel philosophy and ecumenicism) and the Christian right (represented by fundamentalism and biblical literalism). The Christian left (along with the secular and anti-religious left) became supporters of the New Democratic Party while the right moved to the Social Credit Party, especially in Western Canada, and to a lesser extent the Progressive Conservatives.