I did an experiment where I ran all matters of configurations: all the same, higher up front, lesser in the rear, etc. This combination proved to be the best balance for speed and turning.

The front wheels are unpowered and are only used for steering The rear most wheels are powered and they also provide steering but are dampened. Putting a high grip on the front reduced speed and made turning too pronounced.

I would not recommend you to use different types of tires at all, even if it worked I would never put less grip infront