Yes, but once again, the end result is the same. The church cannot control government either. That is the meaning of secularism.
secular spirit or tendency, especially a system of political or social philosophy that rejects all forms of religious faith and worship.
the view that public education and other matters of civil policy should be conducted without the introduction of a religiouselement.
What you claim is part of the truth, but not the whole truth. The founding fathers were also well aware of the oppression and tyranny that resulted from church-state linked governments in Europe. During colonial times, it is a historical fact that religion and government created much misery and hardship. You’ve heard of the Salem witchcraft trials of course. This is just one example of religious persecution at the hands of government. The Glorious Revolution, or the persecution of Catholics by protestants and revolts against this persecution were the precursor to the American Revolution. Those who disagreed with the Puritan faith were called nonconformists or dissenters and harshly punished by beating, whipping and imprisonment. The list goes on.