Turn me right and I was nearly frozen,
Turn me left and I'm open,
And I was once my own reflection,
Well... Before the revolution
Hint 1:
If you massively rearrange me, I can be American
Hint 2:
The term "revolution" refers to a political revolution.
Answer:
I am the French Flag, vertical bands of blue/white/red. Chile's flag used to be horizontal blue/white/red bars. A common flag declaring a place "open" is red/white/blue horizontal bars. France's flag was, for a time, a reflection of its current self, prior to the French Revolution