Maybe my example was bad, forgive me it made sense in my head.
No, both of your posts that people are quoting make no sense (and in a way are pretty terrible), because you are definitely putting the liberty to use religion as a tool to oppress other people's rights, above letting everyone keep their rights, even if all it takes is that those guided by their religious principles look away and not interfere with the rights of others. Your posts are saying that religions are an excuse to impose restrictions unto others, while others are not allowed to do anything that might interfere in any of these "restriction-setting liberties" automatically provided by religion.
Your logic definitely makes no sense in a world that is supposed to be moving towards separation of religion and government. Religion is no longer a rule setter, or it shouldn't be in any modern society. This is where the modern wave of conservatism is located, they feel their rights to oppress others are being oppressed, and that's bullshit.
I'm not afraid to call a society backwards or outright regressive if it's so heavily based on their religious belief system that it establishes their laws and societal rules.
Edit: Also, the huge issue with the logic of religion over other rights is that once you go deep enough, you find yourself excusing murder in the name of religion. "They were oppressing my right to keep them chained and locked in a small room (because my holy text allows me to), so I had to kill them." There are places where stoning people is allowed because religion says that's the law and it must be followed.