The moment of inertia is directly proportional to the mass, assuming the tires are the same shape and size. So, we can just use percentages based on the differences in mass of the tires, assuming the wheels are the same.
For the Pirelli vs the Dunlop front tires, there is a 0.74 lb difference. Choosing Dunlop over Pirelli means a (0.74/9.02) = 8% reduction in the moment of inertia. Maybe that's not significant, I don't know.
For the 160 series rear tires there is a 2% difference, with the advantage to Dunlop.
Basically this means that the rear wheel will accelerate 2% faster, and the front wheel will accelerate 8% faster with Dunlops vs. Pirellis. Likewise, I believe that the front wheel will steer with 8% less force as well.