好譯! To make it more crisp, I suggest

Replace "staying" with "maintain", take out the two +ings, and "will", use maintain and keep, add "to" in front of "keep"

 

Like this:

Maintain equal and autonomous to keep peace

Set the minds of all of our ethnic groups at ease.

 

just a suggestion : ) You don't have to change it. Translation is a difficult art, I normally don't touch it. Admire you!