35mm won't cause the tyres to rub on the bodywork anymore than the standard ones will. The standard suspension will compress to more than -35mm during normal driving and turning anyway.
The firmer springs will be less resistant to compression than the standard ones, therefore at their extremities there will be little difference.
Lowering the car is more likely to result in the chassis catching the ground on ramps and speed bumps, than the tyres rubbing the bodywork.