Toe overlap due to feet being further forward is only an issue at low speeds - you don't corner by turning the bars, you lean.
It's not that the calf muscle is not suited to endurance, the issue is that it is contributing very little actual power during the pedal stroke (it's just stabilising) and yet it is using up energy that would be better saved for the 'worker' muscles.
Properly-fitted stiff-soled cycling shoes basically negate the ball/arch pain comparison.
Midfoot is not suited to sprint events or crits where rapid changes of pace occur - it's suited to steady state events - TT, Triathlon, Audax, etc. Something like 6 out of top 10 Kona Ironman finishers were using midfoot. The winner and second place of RAAM both use midfoot.
Anyway, I'm shortly going to be testing midfoot for long distance time trials, you can read about any progress (good/bad) heretesting midfoot for long distance time trials, you can read about any progress (good/bad) here.