How many laps would the rear tire on this bike last if it was ridden at 10/10ths?
Not very many. Even the street version is a tire destroying monster if you start playing with the throttle. The tires that these bikes come standard with are premium Bridgestones (slicks for the H2R, RS10 for the H2), no OEM cheapskating here, but tire longevity was not a design priority here. Wanna play, ya gotta pay.
Does it have the chassis/suspension and electronics pkg to handle 300+ BHP?
The chassis, suspension, and electronics are very good BUT try to put that kind of power to the ground on a bike of anything remotely like this length and center of gravity height, and the front wheel is going to want to be in the air in the lower gears no matter how good the chassis and suspension are. If you want the front wheel to not go skyward then you either have to make the bike longer (like Rickey Gadson did!) but then agility goes out the window and it will want to spin the tire if you try to go around corners with it, or you tame it with the electronics - which it does. You CAN turn the traction control off ... but thou shalt leave it on. It works well.
These bikes have a very planted, solid, secure feel to them, and that's as it should be.
What kind of lap times have test riders being putting up? Are they on par or ahead of an S1000rr or other top SBK bikes?
If your objective is to lap a relatively tight and somewhat bumpy racetrack in the fastest possible time, the H2 is the wrong tool for the job (and in pretty much the same way that a ZX14 or Busa is the wrong tool for the job - Too heavy, too long, too much work to ride). A superbike, or its street equivalent, will be a better match. The H2 was not designed to be faster around a racetrack than a superbike - that's what the ZX10R is for. It was designed to be an exciting bike to ride - and it is.
One of the issues is that it has SO much power that it eats straightaways in no time flat and is now going faster at the end of that straightaway and it's easy for a situation like that to get ahead of the rider ... and you can see where that happened once in the video towards the end. Fortunately the brakes are good, too ... but that's not going to help if you run out of road. Also, because there is so much top end power, the amount of acceleration you get is strongly dependent on what RPM you shift gears ... and it pulls so hard that it's hard to be exactly consistent with the shift points. In that video, if you watch the speedo, there was a lot of variation in speed on the straightaway, and that makes it harder to do consistent lap times. It's not that the bike is doing anything "wrong" ... it's just that "das maschinen ist nicht fur gefingerpoken und mittengrabben. Ist nicht fur gewerken by das domkopfen" ...