You are okay.
This too shall pass.
One day at a time. One hour, one minute, one moment.
Breathe.
Your job is to take care of you and your babies. Your job is not to take care of him. He is an adult and can take care of himself. If he needs support, he can find it. It is not your JOB.
There is probably (if you are like me) a part of you that is saying it IS your job, which is why you might feel frustrated and burdened. But it is not. Tell that part of you that feels responsible (because you are nice, because you are married, because he needs help, because going to therapy would help him, because you have been telling him he needs therapy, because he is the father of your children - whatever you choose) that you TRUST the universe and him to take care of him.
That frees up you to take care of you and your little 'uns.
One minute at a time.
You are gifted with lovely babies. You are gifted with not being an alcoholic. You are gifted with this life. Hold on to that good to help you through.
peace