Not sure if OP is highly successful troll or really just that ignorant of all that goes into a forward moving vehicle, let alone one that can cover the 1/4 mile in <11 seconds.
The multistar batteries you linked to can certainly push out the power required to go 120mph, however you will need a lot more of them, at least wired five in parallel, 4 in series for a total of 20x 16ah packs. This is probably being very generous with their abilities. These are large capacity, low power batteries and really not suited to drag racing.
There's no way you could 'mount them towards the front of the triangle' - this is 85+lb of battery.
To push the sort of power required to the motor you're going to require something like 2x Sevcon Size 6 controllers, this is another 25+LB of controller and wiring.
You're not going to be able to put down more than 10 horsepower to the tire on anything resembling a standard bicycle without flipping it over. I struggle to keep the front wheel on the ground launching with a mere 7kw. Running 40KW+ bicycle tires are out, you will shred them apart very quickly. Not to mention risky running anything that thin over 120mph. At some point as you increase weight over the front, correct geometry and increase wheel base the limiting factor will become tire traction rather than likelihood of wheelies. At this point you have the possibility of baking the rear with wheelspin at the worst moment and crashing in a far worse and higher speed fashion. LFP has a lot of experience with riding fast two wheel vehicles, building electric ones, works in the industry and has come the closest I'm aware of to running in the 10's with something vaguely bicycle shaped with an 11.5. Shaving off that extra .5 of a second is not as easy as you might think.
Frankly finding a motor to supply the power is probably the easiest piece of the whole puzzle to solve.
If you're sincere and not trolling, go spend a month reading about batteries, controllers, motors and the practicalities of building a functional bike that goes, turns, stops and handles safely. Build one, race it and then improve. If you can actually build something that runs the 1/4 mile in <20 seconds I'll be pleasantly surprised.
