The spirituality of the Chinese civilization doesn't depend on a belief in a deity, that part is more or less optional from a civilizational perspective. There are so many points of miscommunication due to semantics that it is difficult to pick a starting point.
I will also add that religion is different from purely spirituality.
We bow to others, especially elders, even to our ancestors. In Islam, you do not bow to mortals, only to Allah. Bowing for a Chinese is not worship, it is respect.
https://islamqa.info/en/answers/164...n-to-bow-to-an-older-person-when-greeting-him
Bloodlines are important in Chinese civilization. We venerate our ancestors, the west calls this "ancestral worship" but we don't worship them. Again this is seen as haram by Islamic scholars.
Chinese civilization doesn't depend on a type of clothing to exist, if that was true, every new dynasty would be a different civilization. Each era had its own clothing style.
Chinese civilization has a steep learning curve, you can't just read a few books on China or even originals in Chinese to understand Chinese civilization. Reading Art of War won't help someone understand ancient Chinese military theory, that book is very watered down with little context to provide understanding into the forces that created such ideas.
Ancestors are important to the Chinese civilization because they represent the history of China. The history of China is important because it helps us understand strengths and short comings in different contexts. Their struggles will one day become invaluable to our and our decedent's struggles. A nation that doesn't value its history and has the ability to learn from it is one that cannot sustain its success. We believe Chinese civilization is one that evolves over time, and we will maintain a continuity of civilization.