I can't say for sure if this lady is serious, but it sure seems like she is. I would have guessed this was some sort of performance art/stand-up comedy, except Right-Wing Watch seems to think she's for real.
If the birds are dropping dead from the gay, shouldn't they be dropping somewhere more gay-friendly than Arkansas? And if the problem is the repeal of DADT, why would it be happening in the home of the guy who gave us DADT? There is some really convoluted "reasoning" going on here.