No. Please be aware of the difference between Buddhism and Shintoism.
These cannot sustain the existing gameplay of the civs.
A Daimyo can be a hero unit obtained through cards, age advance, or techs, but should never be a starting hero. The Japanese starting heroes should not have the speed of cavalry, let alone less than 2, unless you want to completely abandon the existing shrine mechanics. The status of the daimyo would not allow him to build shrines too. There are obviously many explorers and cartographers in Japanese history who explored the Japanese archipelago and today’s Hokkaido and Sakhalin, such as Mogami Tokunai, Inō Tadataka, and Mamiya Rinzō. Why not build on them and simply design non-monk heroes who can build Shrines and use muskets or bows to replace the existing ones?
The Iron Cap Prince should not be a leader who owns territory and participates in wars in the new world, at least not the most suitable. Feudalism was not popular in the Qing Dynasty in China. The princes have no fief, and live in palaces in the capital almost all their lives. Due to being deliberately weakened by the emperor, the nobles basically had no military power, and even if they had, it was often only in name. Even a simple Chinese General is a better term, or I like the Armed Caravan Leader which is full of Chinese flavours, at least they can maintain the mechanics of training guards/members like the current Disciples, rather than unnecessarily copy the rebirth mechanics of African heroes.
Emir didn’t seem to be a commonly used title in Mughal India, at least the term is better known in other Muslim countries. In contrast, as a hero on an elephant’s back, Raja or Zamindar was well suited to the Indians as an autonomous ruler and military leader.
For reference.