Sonic and Rainbow Star? Very sixties! LOL
Personally I've changed names a few times in life and I'll keep doing it until I'm 100% satisfied with my name, notwithstanding who doesn't approve, so it would be hypocritical of me to tell my daughters they can't go by Rainbow Star or New Moon or Audrey.
Let's just hope their parents give them names I like, and then the topic won't come up.
It's lucky I found Ecuador in my research, as the names there will work just as well here. I was initially looking at Mongolia and I just don't see a Mongolian name blending in smoothly in my community.