Question

The state religion of the Han Dynasty was _____.

Answer 1

It is Confucianism. Confucianism was the state religion of the said dynasty.  It was the code of ethics embraced and adopted by the Han Dynasty as the official religion of the great empires in the region.  This belief provides a simple structure of ethical and religious beliefs which most of the Chinese people flesh out by other belief like Daoism. Confucianism was the state-sponsored belief of several dynasties since the Han Dynasty until the Qing Dynasty. It was the belief of the many  like the imperial bureaucrats  and was considered as the favorite political philosophy of leaders for its legitimated dynastic rule.

Answer 2

Confucianism, due to the Legalist/Confucianism compromise