Goliaths are the standard response to mutalisks, as goliaths are Terran's strongest anti-air unit. They have a pretty good dps vs air, and they significantly outrange mutalisks.
The Berkeley bot's mutalisk micro was just too good.
Goliaths alone? I don't think so. Any player with good micro (and we're talking bots here) will keep dancing out the damaged mutas, since Goliaths can't follow to kill. You should at least throw a couple of Valks into the mix. A bot could also pull off the cloaked Wraith + medic combo, perhaps.
The Berkeley bot's mutalisk micro was just too good.