Aftermarket Differential?

[Treachery]

Yesterday i was in an near-major accident on the freeway. There was a fender on the road (fast lane) which i swerved around, avoiding to hit it. When turning back into the lane is was on, I lost control of my '93 GT and fish tailed 180 degree across 4 lanes of freeway and ended up on the emergency lane along the slow lane.

If my Mustang had an aftermarket differential such as an Auburn, among others, would i have still lost control?

I swerved left and then after passing the debris, i turned back into the lane i was on and that's when i lost it.