Ok they are both incredible bikes. The Triumph is the best naked, streetfighter out there IMO and here's why.
To me a streetfighter is supposed to be something you ride like a Hooligan through town. It should be fairly inexpensive; if you consider many streetfighters originated from people stripping down a crashed up bike with no regard for its looks. It should have tons of torque and be very flickable. It should not be a track bike.
My problem with the Ducati is that it's very expensive, granted they aren't ripping you off. Full Ohlins Suspension and steering damper, 1098 motor, lightweight rigid Duc chassis and other high dollar goodies. But I don't care for the idea of an expensive streetfighter, it's not right to me. Not to mention the guy in the vid even mentions it doesn't have the low end grunt he wanted from it, it was rev-happy. Frankly, if you wan't all that go fast stuff, save your money and buy a superbike like the new R1. Then again, for the money you can have an S3 and a race replica supersport in your garage. Spring for the Streetfighter S and your talking a new S3 + a new superbike.
If someone wanted to turn the streetfighter thing into half art/half race bike, Ducati nailed it on the head. Due to the high cost and racing go fast characteristics, from a streetfighter standpoint, I think it's a compromise. And due to the lack of fairings for high speed and not going that extra bit to be a superbike in the chassis/engine department, from a superbike standpoint it's a compromise. So I guess it's just in it's own class. I will admit, if I had the spare cash, absolutely burning a hole in my wallet, I'd consider it.