Welcome, Jen, glad you've dived in!
I know what you mean about the meeting. I didn't feel like I fit in at first, either. If you're willing to give it another shot, try another 5-6 meetings before making up your mind. There's a reason that's suggested, as I discovered for myself. :-) There are meetings here that allow you to bring your children, so just ask.
It sounds to me like you are doing a remarkable job. Raising and home schooling four children at 32 is amazing. I also think you're showing a real clear-headedness (if that's a word) about the situation with your husband's drinking.
Please keep posting and, if possible, try another few meetings. You'll get tons of great experience, strength and hope both here and there. Look forward to getting to know you.