Here's what I would do, if I had your desire and your budget:
I'd stick with the four motor concept. I would drive them with four Rinehart controllers. Go with the PM150 series--there is no other controller available that will be small enough to fit four in your little car; it is by far the most power dense AC controller available publicly. Don't worry about it "only" being 150kW. That's a total of 800hp in your car.
As far as the battery goes, shoot for a 50kwh pack. That will give you a bit more than the 150 miles you need, but you'll need that size to get the power you need. Your best bet will be LiPo batteries rated at 20C. Discounting voltage sag, a 50kwh pack at 20C gives you 1000kw. With sag, it'll run your 4 motors.
The Rimac battery pack isn't going to cut it. They are LiFePo4 batteries, which is a great chemistry but it isn't that power dense. Rimac gets around it by having a bigger overall pack than you would be able to fit into your car.
In addition to talking to Rimac, I'd email Steve Tice at evdrive.com, who might be more likely to have things available (and which would eliminate the complication of importing from Europe). He'll likely try to sell you on using his motor as well, which might not be a terrible idea anyway. Although they are twice as heavy, they also have twice the continuous power rating, due to liquid cooling of the stator and rotor.
All of this is assuming you have money. Needless to say, to get the attention of evdrive, Rimac or anyone else selling super high end stuff you'll need to come to the table with money. You haven't mentioned your budget yet, but your 4 motor AC supercar is going to cost over 100K just in motors controllers and batteries.
Oh yeah, you'll need a reduction gearbox for each motor too
If you can pull this off, it'll be epic.