I'll bet your ball joint boots are disintegrated. This is extremely common with the OE boots. This lets out the grease and lets on water and dirt. Then they squeak like crazy. Only real option is to replace them. It's usually the bottom bj that squeaks. Facing this job on my ST soon. There's not much play in my bj's but my right lower has started squeaking pretty badly. To shut it up temporarily I sprayed some lube on it. It took a few days for it soak into where it was needed, but right now it's quite (this fix will not last very long).
The sway bar bushings do squeak, especially if they've been replaced with neoprene bushings, but they usually don't squeak nearly as loud as the ball joints.