They may want the schools to be more hospitable to truth and Christianity. But they may not bother intervening on behalf of the unborn. Or they may be active in pro-life work but ignore or minimize the issues of poverty and racism. In the 50's and 60's, while defending the Scriptures, a very good thing, they defended institutional racism, a very bad thing. As some liberals have no discernment as to the fact that some people are poor due to laziness and need to be required to work, likewise some conservatives seem to have no heart for the truly poor, those who are not at fault for their poverty and who given opportunity and training would work hard to escape it.
Some conservatives serve the god of patriotism.
Their Christian faith is dangerously intertwined with their faith in America. Ours is a great country, as countries go. But countries only go so far. Despite its flaws, America deserves our respect and loyalty. It deserves neither our uncritical endorsement nor our worship.