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
In Northern Ireland, Ian Paisley led a Protestant fundamentalist party, the Democratic Unionist Party, which had a considerable influence on the province's culture. Since the 2017 UK general election, the DUP has provided confidence and supply to the governing Conservative Party, although this agreement provoked concern from socially liberal elements of the party about possible DUP influence on social policy. Karen Armstrong has mentioned British evangelical leader Colin Urquhart as advocating positions similar to the Christian Right. Some of the members of the Conservative Party also support some of the values of the Christian right.