It’s not a false equivalency. The right frequently claims the government over reaches, and then enact their own Christian policies which have a tendency to overreach. Heard of those book bans? That’s conservative Christian overreach into state policy, which takes away freedom.
What’s bad faith is claiming that more social restriction is not a form of overreach.
Edit: pollution is actually a very good example. In my view, polluting my property via air or water pollution is a violation of my property rights, and is therefore unconstitutional. Companies doing so are overreaching. I would like the government to reach out and stop that. Certain Conservatives somehow don’t share this view, and think businesses should have the freedom to pollute, and wish to abolish the EPA. The government would be overstepping, to them.