The whole experience of the Hyper is centered around its manouverability, that is its quick, light, precise steering. Of course you can expect it to be Hyper-sensitive on the odd occassion, but only when you are pushing it.
Dropping the forks/raising the yokes or lowering your bike in the rear will only serve to increase both rake and trail which will slow down the steering response, and that
TOTALLY DEFEATS THE PURPOSE!
So if your bike is too twitchy take it to a suspension specialist and have it set up properly for your weight and riding style/skill level.
Then maybe add a stabilizer, for security purposes only as others have suggested.
My set up (see thread 'Steering damper not needed') includes raising the rear ride height by 8mm measured vertically from the axle. This made the bike
TURN IN QUICKER. I have since fitted a Michelin Pilot Power 2CT which made a massive difference to the steering, IT TURNS IN QUICKER AGAIN!
I will at some point in the future, add small increments of more ride height in the rear, so it will
TURN IN EVEN QUICKER 

.
This bike is amazing, why do I do this? "To increase the agility in the flip-flop considerably". (Quote Bruno Saturno of Ghezzi & Brian fame).
The whole reason behind my suspension setting search, was to dial in compliance, to make the ride more comfortable so I could ride further over rougher roads. If the bike is kicking and bucking over the humps, bumps and potholes, it all gets pretty tireing after a while, from fighting the 'slapping bars' and hanging on for grim death.
I now have a smoother ride, which = a faster ride and at the same time it is a much safer ride.
I also have a suspension kinematics program purchased from
www.tonyfoale.com (I did the 2 day seminar in Sydney)
which I will use one day to determine my final rake and trail settings. I can assure
you it will be steeper and shorter than stock. Don't worry about loosing ground clearance because the quicker your bike turns, the less you have to lean it.
I wouldn't want to be at full lean with harsh suspension that doesn't keep an even (as possible) downward pressure on the tyre, keeping it glued to the road. If others can see daylight under your tyres all the time when you're riding straight, I can guarantee it will not feel good when you loose traction through a corner.

