Their intent was to keep the STATE from using the powers and influence of the CHURCH to manipulate/control the populace.
This was the reason they left ENGLAND and came to the Americas, was to set up a gov't like this, and not like ENGLAND's where the CHURCH and STATE were intimately linked, and the STATE declared you must practice the chosen religion.
Once again, they did not declare a separation of church and state,
but a Separation of the POWERS of CHURCH AND STATE ! ! ! ! ! ! ! ! !