It's true that the F35 seems a little beefy, compared to other aircrafts.
A single engine is quite bad for survivability.
While I can admit that vertical liftoff can be an asset if you want to respond quickly to an attack without building airstrips every 50km, it's hard to really justify building so many aircrafts with a airframe shape that allows VTOL. VTOL is a tough compromise on aircraft.
Having an aircraft that can play several roles is not a good idea. Regrouping roles is a good idea, but regrouping them all into only one is really not a good engineering decision.
That's like deciding to design a pen-lighter-laser-pointer-usb-drive-knife-screwdriver into a single device. It sounds cool, but in the end, it's better to see what can go together and what should not.
Unless the F35 has a next gen radar which allows it to see enemy aircrafts from farther, it will be bad at dogfights.