As somebody who's been through a similar-but-different dual citizenship thing: it's just a bit of paper. You're still you, in all your wonderful complexity, and you can feel like any nationality or combination of nationalities you like. That will probably continue developing over time, too. You'll lose nothing by getting a second passport, and by the sounds of things you'll gain plenty.

Everybody should take every opportunity available to them when it comes to this stuff. Don't let others decide for you where you're allowed to make a life for yourself if you can possibly help it.