The Q2s run wider,if I were just riding in parking lots and track I would go with SM slicks but Im blue plated so I ride street quite often.I dont think you posted how wide your wheels are,but it looks like it would be tight unless you can pull your wheel back some more.Here are my rims.
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Its a 5" rim, I think Im going to go have a look at the Dunlop slicks tomorrow....And it looks like the chain side is going to be the rear issue, I might have to make some spacers for the sprockets...I can pull the wheel back and get good clearance for the swingarm, but the chain is close...