Yes... the Barkbusters will fit fine.
The 613's are much higher than standard (25mm I think) bars (they are also a little wider), without fitting new throttle cables you will not get a riser in there.
In order to get the 613's fitted you will need to re-route your throttle cables. So it's tank off time!
the red line is the route your cables take today, you need to pull them back and re-route over the oil pipe, following the dotted blue line. This gives you enough cable to get the bars to full left hand lock with the 613's fitted.