While not quite totally accurate, a nice sentiment. I know of at least one F-111 credit of an enemy fighter by out flying him into the ground
Air engagements of the Gulf War - Wikipedia
en.wikipedia.org
According to Wiki the credit went to the F15C. This list has all fighter kills by F15C or F18C.
Here is the list of engagements.
List of Gulf War pilots by victories - Wikipedia
en.wikipedia.org