No, I highly doubt you'll find car tires on sportbikes anytime soon.
That said, the bit about "car tires can't possibly work" is like trying to argue why a plane will not take off, as you're flying in it.
Well it obviously does, loads of people run car tires on bikes and have been doing so for a long time, with what they claim no ill effects and many benefits.
People tend to think of car tires as a rigid square, and that any degree of lean will tip it onto the sidewall, causing the bike to just slide out, cue fiery explosion and death. I've seen a Goldwing with an automotive rear tire drag it's floorboards around corners, and yet did not instantly slide off the road and explode. There was ZERO wear on the sidewall of the tire. In fact, some of the rubber "tits" were still on the edge, just past the start of the bend away from the tread, so it was obviously not tipping onto the "corner of the square" as people insist happens. He reports that it took about 5 minutes to "get used" to the car tire, noting the only real difference it that it takes a bit firmer counter-steer to tip it into a corner, which makes sense. He's noted better straight-line stability, and honestly, cruisers usually spend about 99% of their time in a straight line. At the time he had over 15k miles on the rear tire and it still looked practically new. Said he got at best 8-9000 out of a MC tire, and the car tire cost about 60% as much, for what he expects to be about 400% more life.
Like I said I doubt you'll be seeing car tires on MotoGP circuits anytime soon, but for the cruisers that have limited cornering clearance by design, they've proven to be just fine.
I hope we all can ride safely, aggressively (if desired) with minimal brushes with death.
