With its new comms, pod, EW, and new weapons, the classic Hornets probably could perform well in theatre. But why risk a 25-30 year old airframe which is going to struggle to get to its oft-revised LOT as it is, and which would probably be harder to support in-theatre.
The Supers with their longer endurance, greater payload, 100% US commonality, and with a WSO teeing up targets would add far more value, and with their better sensors and comms can also act as fast-FACs. If we send fast jets, I'd be looking to base them somewhere like Incirlik or Akrotiri... Al Minhad is 1500km from the southern end of the IS territory.
That said, personally I'd be surprised if we send any fast jets - more likely is one or two KC-30s, a couple of E-7s, maybe a Peacemate, maybe even some Herons.