I don't think yelling is going to help anything.
Know what you want. Know what you can do to enforce it. Give her a course of action where she accedes to your demands as an option, and then another where she does the same thing but saves face. Much like in martial arts, raging is not the best way to quickly and effectively resolve a conflict, so go into a conversation prepared and knowing exactly what you want to accomplish out of it, then say the things you need to give you victory (or with the best chance of it)
Yelling is pretty much worthless in a verbal argument anyways. It's the equivalent of puffing yourself up - it's admitting that you suspect you are weaker than the other person, and that you can't control the situation. And it usually doesn't help, especially if the other person is the type to engage in the same behaviour. (Don't punch them out, either)
What you need to do is start recording things, it sounds like. You want full custody - well, you'll have to prove she doesn't deserve it. That's hard, but it sounds like she's giving you plenty of ammunition, so stop letting it slide by. Keep track of the things she does, and the things she says, and how she acts. Note times, keep it well organized. Note the condition your child comes home in, if they came home late, ask her what happened and write down what she says. Build a case.
Don't get angry - get what you actually want. And what you want is documentation that she is irresponsible, a poor influence, unwilling to fulfill her obligations and incapable of acting within the confines of the state-mandated terms of joint custody.
Don't get mad, because she it sounds like she's handing you all this on a silver platter. Be grateful she's such a bitch, and use it to your advantage.
Once you've accumulated enough evidence, you'll have something called leverage. You can demonstrate when, how many times, and exactly what her failings are. You can make it clear you're going to be using these in court to obtain full custody. At that point she'll either shape up, meaning you get a better situation for your child sooner... or she'll flip out, making your attempt at full custody significantly more likely.
If you live in a state that allows one-party recordings, I'd recommend considering recording your phone calls with her as well.