TAIWAN

Why is Taiwan called, Taiwan, Province of China in the options for countries? I get that people might not think it's a country. But, its grammatically incorrect!

If the Province of China is supposed to go first, it would be called Province of China Taiwan. That doesn't make any sense!

here

Actually the placing of the comma makes it completely correct.

something1, something2

is the same as something2 something1 (in general grammar)

Yes but "Province of China Taiwan" makes no sense

Nation names are never sentences in the first place. 'United States of America' is also an incomplete sentence.

I don't think any change is necessary, but an okay one might be to: "Taiwan, Republic of China" or just "Taiwan"

Ease in finding one thing in such a long list, is why it's very useful to have Taiwan first.

To use an example: To find Puerto Rico, the listing just says the common usage name. Nothing would be gained from calling it either "Commonwealth of Puerto Rico" or "Territory of United States of America Puerto Rico."

Either list Taiwan as Taiwan or not list it at all and accept it is a part of China. Listing a country as a part of another country is fundamentally incorrect. 

It's geographically not connected to China, so dropping the listing would seem pointless; not to mention harmful if we ever attract users from there.