First-off, welcome and congratulations on your clean time.
It's your parent's home which means they get to decide who gets to stay there and the conditions/lack there of. And yeah, life is just not fair, sometimes.
The way I see it, you can either adapt to the chaos on the homefront or take charge of your own situation and change your enviornment. Have you considered moving out and into a Sober Living enviornment until you are in a better position to get your own place?