The hoosier is a race tire, that is sort of "legal" for the street. This means i is sticky as heck, not much rubber and wont last very long. BUT for the time you run it, it will perform unlike any "street" tire. FWIW I took a new set to Rally 6 at Miller, and I corded badly the Rt front. My inexperience with the track, did not allow me to realize I should have rotated sides, so wear was not linear, but the point is the tires are done, and as I was doing a lot of "thrill rides" I was on the track a fair amount.
Bridgestones are a street tire (in the "ultra performance" catagory). They will be full tread depth, and will be a huge improvement over the GY oem! But will not stick like the hoosier, but will last "longer", making the assumption you are not tracking near the limits and you tear up the full tread depth (usually called chunking, which the fix it to shave the tire in advance).
So the questions to ask your self: Do you need the traction on a track (either in the rear, if you have turbos etc, or road course tracking), Do you care that an R6 will not give you many "miles"? Is getting caught in the rain a factor (or you could have R6's custom cut with some rain grooves, see mulletts link on his source).
I drive R6's all the time FWIW
Hope this helps.