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.
Conservapedia
A liberal…is someone who advocates an increase in government spending, power, and control, such as ObamaCare. Liberals often support the censorship and denial of biblical Christianity. Liberals who are a part of the secular left prefer atheism/agnosticism over the Christian faith, as atheism has no objective morality to hinder their big government plans.