You've stated two things already that are red flags. His drinking is not causing any issues in his life and gave several issues they are causing. Go back and read what you wrote.
Second is you stating you're not in a bad place yet... here you are looking to fix HIM. Limit Him. Babysit King Baby.
You're not going to help him unless you stand firm in your decision making, have respect for yourself and your children and expect the best in a partner so you can have a chance at 20+ years. You're not going to get that with an active alcoholic. Ask me how I know.
Welcome. Take the advice given to you. It's good.