I had the same issue on my 96 GT Convertible earlier this summer. In the morning or evening when it was cool, the car was fine. In the middle of the day, when the temp was warming up, the alternator gauge would begin a gradual decline until it bottomed out and everything electrical started failing on the car. The battery and alternator checked out great when the car was drivable and driven to the auto parts store. I took the alternator off the car and had it bench tested, and it checked out. But the problem kept recurring. So, I replaced the alternator AND battery, and have not had problems since. Not sure this is what you want to hear, but thought I'd share my experience. Good luck!