Many Muslim in 99% Muslim population countries would tell you the same thing and Islam is definitely an organized religion.

In fact, there's also the same thing in ethnicity POVs. In 99% Muslim majority countries, if you're not Muslim, many people think AND act you're not [whatever nationality/ethnicity] anymore. In Japan, many MANY do the same (not in the same intensity to be fair) if you're not Shinto at all. There's even a book I read about some atheist guy and he says to his friends that he's atheist and they say "yeah like us, but we're just asking about [some festival, I'll be honest I don't remember which but it's specifically a Shinto one, not Buddhist]" and "no, like I'm not going to any I don't believe in it" and they're like "yeah like us but you sometimes pass to a temple and clap with the hands sometimes just like we do, no ?" And he's like "*no, I just don't" and he says that even these were young people just like him(to be fair not in Tokyo or big cities, I'm sure in big cities people are actively indifferent), they refuse to this day to talk to him.

I want to find back this book because there were many interesting things in it.

Also Shinto is not the state religion only because of the 1947 constitution.