sry to hear that's been my worry the ease of wheeling (plus the fact cops take dim view of it) as I ride a cruiser (im surprised someone with more experience hasn't commented with tips for controlling/stopping a wheelie) im not 100% but I think the response to a wheelie is decelerate or touch of back brake, could even dip clutch
Stoppie is easy enough, just let the brake go - that's assuming you have space, but if you haven't, you've made a bit of a mess of things, haven't you?
Intentional wheelies are also easy enough to control. You should have your foot over the back brake anyway, and you can also ease off on the throttle. I say ease off, as just letting it go can bring you down with a thump, and risks damage.
An unintentional wheelie is a problem. Physics say that you're going to be pulled backwards, which means you'll tend to open the throttle wider, because you'll be hanging on to it.
The solution is not to get yourself in that situation. Everyone reading this thread who hasn't got used to the power delivery of the MT07 (or any other bigger bike) should take note - the thing is very torquey, go easy on the throttle till you're really used to it.
No offence to the OP in this thread, but he did make a mistake. I can assure you the MT07 is perfectly controlable, even if you're going beserk. It's not what the bike is doing, it's whether you're expecting it.
Just be careful, you'll be absolutely fine. If you're concerned, I'd say (notwithstanding any running in) limit yourself to 4 - 5,000 rpm for the first 100 miles, easy on the throttle. Once you've done that, you'll be more used to it and can experiment a bit.