the fastest recorded time iirc of the 918 was done by car and driver, at 2.1 seconds 0-60[i was wrong, it was 2.2 seconds]. tesla model S p100D with "ludicrous mode" have been recorded at ~2.2 seconds (fastest i could find was 2.28 seconds from moter trend). the 918 is the fastest recorded production car, and of course a difference of .1-.18 seconds is a bigger deal at ~2 seconds.
car and driver is notorious for "dumping the clutch" on a lot of their tests. with the 918's dct, that likely means an automated launch control, though they still have come under fire for pushing the cars to their limit on their 0-60 tests, possibly damaging components in the process. Launch control can be quite hard on performance cars, some even have a lifetime counter on how many times it can be done.
in order to enter ludicrous mode in the tesla, you have to agree that you understand it may damage components of the car as well.
both cars have instant torque from electric motors, and AWD. the largest limiting factor keeping us from faster 0-60 times is definitely tire technology, most of these cars run on tires with very similar compounds, usually from Michelin or Pirelli. also, at 0-60 in ~3 seconds, it works out to about 1G, which makes me wonder how much people want to accelerate that quickly, or if they just want to be able to talk about the times on their new car.