You're probably not going to get anywhere near 50% of that nominal capacity, again because caps don't discharge like batteries. After you've drawn 50% of the cap's energy content, its voltage has dropped by 29% (there's a square law involved). Without some tricky management by the BMS, that puts it well below the battery voltage, and because of the other square law involved, (motor power output drops as the square of the applied voltage, if you're max'ed out at the supply voltage), you're down to 50% of the full-voltage horsepower, as well.
Sure, you could theoretically isolate the ultracap and battery from each other, design some fancy electronics to step up the battery voltage to a higher capacitor voltage, and use just the ultracap for a few seconds once in a while, but that's some high-power (and high-intelligence) circuitry that's going to be fairly heavy, is going to need to be cooled and will take up space on the bike you could just use for higher battery capacity.
And again, batteries are giving higher and higher peak current outputs all the time. I wonder if all this exercise really works for your benefit in the final analysis.