But that's not what is occurring in either the example from the OP, or in the example the other user posted about being upset about the Episcopalian church putting up a rainbow flag.
It was the evangelical side of the equation that's trying to force their rules upon others.
For instance, a girl wore a rainbow sweater and had a rainbow cake at her own birthday party at an Outback Steakhouse, her mom posted a video of her blowing out the candles to her own Facebook feed, and a school official saw it, and opted to try to force her to into some sort of conversion therapy, and then subsequently expelled her.
Not sure about you, but if a Christian school is basically spying on students and their families to see what they're doing off-campus (via scrolling through family members' social media feeds), and then trying to punish them and make them a social pariah for what they deem as "lifestyle violations", it's hard to see the school as the entity being the victim of coercion here.
With regards to people from other denominations basically trying to shame other denominations for not having the same priorities, that's another instance of them trying to impose their code onto everyone else.
For instance, Seventh Day Adventists believe in abstaining from consuming meat (or some cases, just certain types of meat) based on their interpretation of their scripture. Would a Seventh Day Adventist be justified in trying to imply to other denominations "you're not a real Christian unless you follow a vegetarian diet like we do!" or trying to attack other churches for sticking a pig roast sign up on the property with the implication that they're succumbing to "worldly desires", thereby implying that they're somehow a "lesser church"?
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