The main reason anti-Christian civilizationists survive and seem to thrive is that Christians have not engaged with, answered, and built a competing alternative culture—THE ORIGINAL CIVILIZATION—founded on the principles found in God's Word and observable in creation.
Moreover, many Christians don't believe there can be or should be a Christian civilization, so they send their children off to the local government school that is anti-Christian believing that facts are neutral and public education is free. Such thinking comes at a terrible cost.
Action by Christians can fix this problem by simple obedience to God's law. If wolves in sheep clothing are a problem for the people of God, then what should we think of wolves who identify as wolves and want to supplant Christian civilization founded on materialist operating assumptions?
There are many Christians who will not participate in civilization-building efforts that include economics, journalism, politics, education, and science because they believe (or have been taught to believe) these areas of thought are outside the realm of what constitutes a Christian worldview.
Nothing could be further from the truth.