In many ways, these types of efforts are about exposing certain groups for saying one thing, but really meaning another thing entirely. Even if it's coming from a place of tongue-in-cheek or simply for nothing else to expose the other group, it's important to do so because it highlights what their true mindset is, and shows people what their intentions truly are when they try to weave their religion-specific values into the fabric of society in other areas.
Look at how the evangelical community reacted in Oklahoma when that whole thing happened with the "nativity scene on public property" debate back in 2015. They were upset because they didn't like the rule that said "no religious displays on publicly funded property". So they lobbied and appealed, and a rule change was implemented so that a nativity scene could be displayed, but only if that property was fair game for members of other belief systems to put up their own displays as well.
So they did...and the Christians put up their nativity scene on the property of the state capitol, and then when a group showed up to put a Festivus Pole up (to be funny and troll them a bit...and it worked, they got the predictable response) and another group put up an Islamic crescent symbol, they immediately got mad and started claiming that it was, once again, a war on Christianity, with a republican state rep saying "this effort to mock the celebration of the birth of Jesus, our Lord and Savior, does not illustrate the best judgment of those who manage our state Capitol"
If it was just a matter of the evangelical community fighting for "rights", that's not an issue. The issue is that when they claim they're fighting for "rights", but their actions and words suggest that what they actually mean is "exclusive rights"...and that's a big difference.
In a lot of cases, many evangelical conservatives don't want "religious freedom" by its true definition, they want the ability to do something that shows the public that "our religion is special and should be publicly revered as being superior to all of the others"
Among the evangelical right in the US, "religious freedom" is just a code word for "publicly endorsed Christian superiority"