Sounds like the idle jet is clogged up. Probably best to take the carb off and clean it. The Kinetic carb is very similar to the Vespa moped carb so you can go to this link to see how to disassemble the carb for cleaning, once you have it off the bike. http://photos.yahoo.com/bwebb08
It is kinda of cramped on a Kinetics trying to get the carb off so the easiest way I've found is to basically separate the frame (top of the bike) from the subframe and lift the frame high enough above the engine to allow easy access to the carb.
I have 4 tie down straps over cross beams in my garage (2 for the front each side and 2 for the rear each side). I attach the tie down ends to the frame and then remove the two bottom bolts on the rear shocks and the one big bolt at the front of the engine so i can lift the frame away. You may have to first disconnect the rear brake cable at the rear wheel and a few wire connections to allow the frame to be lifted upwards.
Remove the plastic air cleaner box from the back of the carb.
Then you can remove the two screws that hold the top on the carb and pull the throttle slide and spring up out of the carb and move it to one side. Then remove the fuel inlet pipe(the banjo) leaving the fuel line attached to the inlet pipe and also move it to the side.
This allows access to the 8mm hex head secruing bolt that your loosen and then wiggle the carb towards the back of the moped and it should slip off.
Once you have it off you can follow the pictues in the link for disassembling and cleaning.
I know it sounds like a lot of work but it is easier than trying to bust your knuckles and screw up your carb trying to get it off through that small opening.
You can use a very thin wire to clean out that idle jet along with some WD40 and compressed air.