Real quick thoughts on engines.
Twin J85s wouldn't be much good. Get about 10k lbs thrust total but don't forget the weight gain with twin engines (plumbing, aero mods, wiring etc) The Pratt J52-P-408 pushed 11,500lbs, not too shabby. FYI the F404 in the (T)A-4SUs are 10,400 but better gas milage.
RB199 wouldn't be bad, but without reheat only throws 9500lbs. And a bit thirsty. The engine was designed for more of a twin engine application.
M88 from the Rafale is going to give you the same issues with the RB199 but a bit more power 11,200.
If I was going to install a new motor, I'd go F414 from the Superbug. More power dry (13,000+) with just a tweaks from a F404 installation.
I guess the RM12 from the Gripen would prolly work just as good as F404.
Oh an thrust reverser.............not going to happen. WAAAY too heavy a device for the Skyhawks' airframe. Give me good brakes and a drag chute!
Let me finish by saying the above statements are done with a bit of Scooter knowledge, and LOTS of guesstimating from quickly looking at motor specs online in a very tired state. By no means take it for granted or gospel!
