Several states after the Constitution was signed had established official state churches. Some state governments even went as far as to impose a very small tax of 2 or 3 percent on income to support said church. And imagine!! No one had a problem with it. At least until the 14th Amendment Actually, a lot of people had a problem with it, which is why all the states with established churches abolished them long before the 14th amendment. I think the last to go was around 1830.
Actually, it didn't. Matter of fact some of the northern states didn't drop the official until the 1860s or forced to by the 14th