Today I took Boone, ED-E and an emergency broadcasted NCR ranger to Cottonwood to take out the entire Caesar base, but I noticed that my Scope was much less steady than usual. Is it because of limb damage? Strength? Perception? It would help me alot if I knew how to keep my crosshair from waving around all the time.

Limb damage definitely contributes heavily. If you have any get it healed a.s.a.p.