The strength and cunning fighting of the chimp would provide victory.
On a related matter, I recently read about a confrontation between a pitbull (one of my least liked animals) and one of my favourites (the Tasmanian Tiger or Thylacine) having just returned from Tasmania. This is apparently what happened when one of the best domesticated fighting dogs from the northern hemisphere faced the marsupial dog from the south:
"A bull-terrier once set upon a wolf (thylacine) and bailed it up in a niche in some rocks.
There the wolf stood, with its back to the wall, turning its head from side to side, checking the terrier as it tried to butt in from alternate and opposite directions.
Finally, the dog came in close, and the wolf gave one sharp, fox-like bite, tearing a piece of the dog's skull clean off, and it fell with the brain protruding, dead."
~ Hugh Mackay (quoted by Le Souef and Burrell 1926)
Tasmanian Tiger (Thylacine)
.....as evidenced here, the jaws of this animal could crush skulls. Likewise, it's nearest living relative - the Tasmanian Devil - has the strongest bite of any mammal alive today (about 10 times the psi [pounds per square inch] of the most powerful canines). Even though the Tassie devil is shy and quite small, it is suspected it would even have the advantage over a dingo in a one to one....
Richard Kingsmill (Triple J FM): "Do you mind if we throw to a song by your old man?.
Duncan Jones (Bowie's Son): "Oh God ... if you have to ... OK ... but have a look at Nick Armstrong and The Thieves"