You do the right thing by ceasing to enable his addiction, how will he learn the consequences of his addiction if someone keeps bailing him out?
You need to look after YOU first, your Sobriety is the most important thing to protect in all of this, regardless of who is causing the anxiety, whether it be family member or not, at the end of the day he needs to want to change!!
Hang in there, when it comes to family it can be tough!!