You can streamline the 109 but unless a few other things are fixed (and some are not easily fixable) you don't gain a whole lot.
Aleron response was already getting poor in the upper speed ranges, adding 30-50kph just makes things worse, you have a straight line fighter.
I don't know about rudder response/control, they were fitting rudder tabs near the end?
The 109 was too lightly armed to be a good bomber interceptor (3 gun versions) going faster really doesn't change that.
While a more streamlined plane may increase the range a bit it doesn't do much for endurance. You fly further in the same amount of time.
Streamlining gave 20+ km/h to the 109K-4 vs. 109G-10, on same engine and same level of fit & finish, so it was certainly a plus. When a 30mm cannon was installed, a Bf 109 was a very good bomber interceptor.
I am assuming the aerodynamic improvements only. I also believe that the later 1800-2000hp DB605 engines only ran at those power levels for a few minutes at a time and that max continuous power (non combat climb) was the same as the 1425-1475hp engines, endurance wouldn't change that much. I could be wrong.
The main advantage of the DB 605AS and D engines over the DB 605A was that they gave much better at higher altitudes, allowing the Bf 109s with these engines to negate much of performance advantage the Merlin Mustangs and P-47s possesed above 20000 ft.
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