Allah, are you talking about Arab culture? Arabia is a nation with its own culture, but it is strongly influenced by Islamic culture. But it can't be called Islamic culture, because Islamic culture is worldwide, not a nation. When you say Muslim culture, you mean Islamic culture. Muslims are people who believe in Islam, and popular sayings are based on Islamic culture.
Iran: I believe in Islam, but Iran itself is not an Arab, but two different nationalities. Of course, they don't admit that they are Arabs, but they are Muslims, all of them.
Moreover, Iran has always been a very proud nation and country. They have splendid culture, which is much more advanced than contemporary Arabia. This is also the reason why Iran and Arab countries have been at odds.
In contrast, South Korea and China, South Korea's culture mostly comes from China, including festivals, languages and so on, but why do Koreans try their best to get rid of the influence of China and rename the capital Seoul? Why? Hehe, Iran will never get rid of Islamic culture, but it will not be like Arabia.