A/C or Voltage Problem?

I drive a 97' Mustang, 125k miles and recently the A/C starts cycling, the rpm's drop, the voltage gauge drops and the car bucks a little at the top of first gear.The idle always come back up right away, but sometimes it does this two or three times before settling down. Car is T-5 5-speed. Seems to do this only at extended idle and leaving a light. At cruise or on the highway, it doesn't miss.

The alternator is new, replaced yesterday. I checked it running, before it was only 13.2 volts, now it's 14.59 volts with all acc. on. The car only misses with the A/C on. The compressor, condenser, dryer are all on their second summer( Las Vegas heat, It was 116degrees yesterday!!!!), and only started doing this two days ago. Is there an idle "bump" switch for when the A/C is on? Or something else that I'm missing?

All help is appreciated!

I put a full charge on the battery, and the idle problem went away. Guess the A/C doesn't like to run without full voltage.

Wow, that took a while for a reply. No, I didn't remove the battery, just drove the car til the new alt charged it back up. Have since sold the car way too much $$$.