javaman wrote:What is the possibility of fitting a sports bike i.e. zx6r with those kind of tyre.
Adventure tourers typically come with 18" front wheels or bigger. Some have 17" rears, but none have 17x5.5"s like the ZX6.
So, you might be able to scam a front off-road tyre to fit to a ZX6. You'll pretty much have to change the wheel to do it to the rear.
Would it handle better on gravel
Not really, seeing how gravel grip doesn't really improve until you start going to something with a proper chunky tread pattern, like a Metzeler Karoo or similar.
Seeing how or it's the general weight distribution of such bike which makes it really ill on dirt ?
The hard springs, stiff damping, steep rake, short trail and narrow handlebars don't help either.
Bikes like the V-Strom aren't built for rough-road capability, really. They have fragile cast alloy rims which'll crack on a pothole sooner or later, big  rock-magnet headlights, lots of plastic to crack when the bike goes over on its side. They're comfortable and chuckable on gnarly tarmac, but adventure tourers, they're not.
If you really want to start sniffing around all the hillbilly country to the northeast of Melbourne, buy something like an XR650 (Kawasaki just haven't been interested in enduro for about the past 10 years) and fit a smaller rear sprocket to make it top out at around 180. That way, when you're on a trail and you pass a much gnarlier-looking trail, you have the option of going off and exploring it...
...even something like a KTM 640 Adventure is built for blasting across open country. It takes an accomplished dirt pilot to clamber up a 4WD track on one of those. Bikes like the 950 Adventure, Triumph Tiger or the BMW R1200GS are another 50-60kg and couple of levels of difficulty further on. The Varadero, V-Strom, Cagiva Navigator, Aprilia Caponord... forget it.