I like the word culture as opposed to race. I'm most familiar with Asian culture and there is a diverse level of acceptance. It is important that religion, government, developed or third world and the citizen's views be considered. As Anony says the Thai peole fully accept TG, or as they call them Katoey/Ladyboy. The government is a bhuddist and the religion does not need what they feel is right or wrong in laws. Thus their laws on TGs are demeaning only because they are not recognized in thier new gender by law, but there is a law to correct this on the agenda.
Japan, Korea, China, Hong Kong, Singapore and the Phillipines are developed countries (so to speak) and peaceful places and the people, in general, do not to care. Each country have laws to protect and allow gender changes. The people may not be willing to accept so easily, due to family culture, when compared to the Thais. But they can be educated to learn and accept.
Then you have the Moslem countries; Malaysia, Indonesia and Brunei. Well what can I say. They are not tolerant of many thingsand sex and sexual preference is a big issue. They do not share the same views ar Iran on TGs.. I would be careful travelling in these countries.