Is there not a difference between submission and respect?
Of course. But you cannot require submission as a pre-requisite for volunteering to be a precinct worker in a state election. They could post a sign saying that they do not approve of anyone drinking coffee on their premesis, but they ought not to require it, unless it is prohibited in all polling facilities in the state.
Frankly I would "respect" the Mormons if they simply requested that (out of respect for their beliefs) people refrain from drinking coffee or tea or cola in their facility, and I would abide by their wishes, but it will be a cold day in Hell before I "submit."
And if it were a mosque and if they posted a sign "requesting" that I remove my shoes and cover my head, well... I would remove my shoes.