What is Seperation of Church and State ?

[Person Man]

That the government and the religious sects do not collude. That the government doesn’t promote certain a theology, or irreligion,  over other theologies. There can be no law mandating religious practices unless it also meets a secular end.

[Person Man]

That the government does not establish a state church nor does it excessively entangle itself in the affairs of any particular church or sect

I'd also add that government and government policy is never based on one religion/sect/denomination (ex: no citing  the Bible or Catholic tradition or Mormon practices etc.) as legal authorities, nor government or government policy ever being biased for or against particular religions/sects/denominations even if it's short of establishing a state church.

Does this include promoting theological doctrines that are shared amongst some sects?