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
Evangelical leaders like Tony Perkins of the Family Research Council have called attention to the problem of equating the term "Christian right" with evangelicals. Although evangelicals constitute the core constituency of the Christian right, not all evangelicals fit the description and moreover, a number of Roman Catholics are also members of the Christian right's core base. The problem of description is further complicated by the fact that "religious conservative" may refer to other groups. Mennonites and the Amish, for example, are theologically conservative, however there are no overtly political organizations associated with these denominations.