In the United States the government is not allowed to get religion. Private Citizens can worship whoever or whatever they want, but the Government isn't supposed to.

Now, you might observe that the country's money says "In God We Trust" on it, its legislature openly prays to the Christian God, its Head of State goes to a Christian church, and its Supreme Court sure seems like they have some very peculiar ideas about how exactly such freedom for "private citizens" manifests...

But in principle the United States does not have an Established Church and is not permitted to establish one. This may be cold comfort de facto if you see Organised Religion with its tendrils deep in the heart of government, but there you are.