Most of these well-meaning people wouldn't intend for that to happen. But it would. And some would be happy for it. This document is brilliant in its protections for Christians and you. Nowhere on the planet has religious teaching flourished the way it has here.
By keeping the government out of religion, the founding fathers actually encouraged it. We have some issues with socialism supporting certain anti-Christian media, but that can be solved without a single dogma entering our laws.
We can abolish the NEA, PBS, NPR, and other government agencies that encourage anti-Christian media. Let taxpayers figure out on their own which of those causes they want to support.