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.
Right-wing politics
Religious fundamentalists frequently feel that governments should enact laws supporting their religious tenets. The Christian right is a major force in North America. They generally support laws upholding what they consider religious values, such as opposition to abortion, contraception, sex outside marriage and to same-sex marriage and reject scientific positions on evolution and other matters where science disagrees with the Bible. Outside the West, some other religious and ethnicity based political groups are considered right-wing. In India, Hindu nationalism is sometimes considered a part of the Right. The Hindu nationalist movement has attracted privileged groups fearing encroachment on their dominant positions and also "plebeian" and impoverished groups seeking recognition around a majoritarian rhetoric of cultural pride, order and national strength. Many Islamist groups have been called "right-wing" including the Great Union Party and the Combatant Clergy Association/Association of Militant Clergy and the Islamic Society of Engineers of Iran.