No, it's not a better analogy, because Texans are part of the US and citizens of it. They don't have a separate language and customs.
Actually, Australia would be better. Their English and customs are more different from us than the Brits.
The Ukraine is not a state of Russia although the USSR tried to take it over as if it was.
There was a time when Texas wasn’t part of America. Sorry you had to find out this way.