Answer
The minimum torque that will make the tire slip is $\tau = 570~m\cdot N$
Work Step by Step
The tires will not slip as long as the force $F$ between the tires and the road is less than the maximum possible force of static friction. To find the minimum force $F$ which can overcome friction, we can equate $F$ to the maximum possible force of static friction,
$F = mg~\mu_s$
We can find the torque on one tire from this force. Note that the mass on each tire is 1/4th the total mass of the car.
$\tau = r\cdot F = r\cdot mg~\mu_s$
$\tau = (0.33~m)(1080~kg/4)(9.80~m/s^2)(0.65)$
$\tau = 570~m\cdot N$
The minimum torque that will make the tire slip is $\tau = 570~m\cdot N$