How can planes with the same stall speed and power-to-weight ratio have such different takeoff field length, climb rate, glide ratio, etc?
Are we comparing apples to oranges again? The differences in take-off length are far too big with such similar performance numbers, and I agree that they should be closer together - if we are really comparing the same thing.

Take-off means that the aircraft has to gain an energy difference with a potential and a kinetic component. FAR 23.53 demands a height of 50ft, and FAR 23.51 a speed of 1.2$\cdot\text v_{S}$, but adds more conditions that could be significant here. If the speed for continued safe flight is found to be higher, that speed must be used as the basis of the take-off performance.

The 61 kts stall speed limit only applies to aircraft below 6000 lbs MTOW, so two of the three are not constrained by this limit. Interestingly, the heavier aircraft have longer take-off lengths.

If the airplane weighs more than 6000 lbs and is certified in the commuter category, FAR 23.59 comes into force. It relaxes the height requirement (35 ft instead of 50) but adds a factor of 1.15 to the demonstrated length.

If all take-off distances would had been determined with the same rules and if the stall speed in take-off configuration would be equal between all three types, the take-off distance would be very similar. But I am sure both conditions are not met.