I would highly recommend you find another counselor for yourself. Not sure why YOU and not he are going to an addiction counselor in the first place and I can’t imagine a counselor telling YOU to PUSH him to go to AA and not be telling you to focus on yourself and allow him to focus on his own recovery.
A counselor should be telling you that you don’t cause him to drive, you can’t control his drinking and you can’t cure it.
A counselor should be telling you to focus on making a plan for yourself to keep a room over your head and food on the table in the event he begins drinking again and loses his job.
Putting your life solely into the hands of an alcoholic is a dangerous and scary way to live. Counting on an alcoholic to continue to provide for his family is scary. You always need a plan for yourself in the event life does not work out how are have dreamed it would. And a counselor would be helping you come to that conclusion not helping you be codependent on an alcoholic.