Let's move the AHA Conference to Alabama. It probably generates a ton of revenue, so that's an attraction. And then let's move the National Competition to Alabama to judge a few rounds. Again, more state revenue for the coffers.
Of course none of this would be approved by the legislator. That's where the money comes in. Start telling people that their arcane laws prevented $XX,XXX from coming to the state. Then talk about the tax that would generate more revenue on the sale of raw ingredients that goes to out-of-state vendors. How much beer is brewed locally in the state? Probably not that much, so there's more revenue leaving the state.
You need to take the issue and add dollars to it. There are few things that can incite or excite people, and money is one of them. So when the shrinking budget discussions start, so should the loss of revenue because of these laws. Then you'll get people's attention.
Also, this legislation should be bolted onto something else. Talk to the bill sponsors and see if there is a way to better position it, tie it to revenue, and then attach it to a larger bill.
It's a stretch, but you could show that a good potion (unknown to me) of homebrewers go on to start commercial operations (as brewpubs and breweries), which in turn generate a considerable amount of tax revenue for the state and jobs in the local communities.