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.
Communist Party USA
Accordingly, the Communist Party holds that right-wing policymakers such as the neoconservatives, steering the state away from working-class interests on behalf of a disproportionately powerful capitalist class, have "demonized foreign opponents of the U.S., covertly funded the right-wing-initiated civil war in Nicaragua, and gave weapons to the Saddam Hussein dictatorship in Iraq. They picked small countries to invade, including Panama and Grenada, testing new military equipment and strategy, and breaking down resistance at home and abroad to U.S. military invasion as a policy option".