If he's got a warrant out he could get arrested if he's pulled over for speeding or jaywalking. Not your problem or your responsibility. He can clear up the warrant if he wants to not be arrested.
If the threat of being arrested doesn't stop him, he will find himself locked up increasingly often and increasingly longer until it DOES stop him. The question you also have to ask yourself is whether you will have the guts to call the police if/when he does violate the order. The order becomes a meaningless piece of paper unless you let the police know when it's violated. One more empty threat.
An advocate can help you with safety planning, remember that. There are things you can do to stay safer but you're not likely to keep him out of the house without an order, should he take it in his head to get drunk and come in anyway because it's his home, too.
There's a system in place to protect you. Please take advantage of it.