When the ceasefire in Kuwait and Iraq was called in 1991, VII Corps (the mechanized fist of the Coalition) was positioned to the north and northwest of the Republican Gaurd moving out of Kuwait. The plan was to hit the mechanized Gaurd divisions with a 3 division armoured fist and destroy them in northern Kuwait/southern Iraq, thus denying them future use by Saddam.
This was unable to happen, though, as the ceasefire was called before the bagging could be completed. The Republican Gaurd escaped back to Iraq, brushing against VII Corps (1st Infantry Division in particular) in it's rush.
Many commanding officers that fought in Desert Storm felt that the ceasefire was called to early, and that they should have gotten the chance to finish off the Republican Gaurd divisions.
How would the battle have gone down, and what would the larger changes have been had the Republican Gaurd been for all intents and purposes neutered in southern Iraq in 1991?