Tires seem to slip or stutter on right hand turns
 

It's an 03 2wd and when I turn right the tires seems to slip like its losing traction. It does not do it when I turn left. Wet ground it's worse but will also do it on dry pavement. Any ideas?

If your on the gas it will lock the diff!

You need to add this stuff to you diff.
Motorcraft Additive Friction Modifier

ever time i do a oil change in my diff i add a bottle of this.
your limited slip clutch in your diff is sticky