Very likely deterministic if you knew the _exact_ state of both the bullet and the air, but effectively impossible to know and likely not that easy to model correctly even if you did.
As far as we know, quantum nondeterminism is real nondeterminism, not just nondeterministic because you don't know the exact state of both the electron and the slits.
Presumably the Navier–Stokes chaos of turbulent flow will eventually amplify quantum fluctuations (where two molecules do or don't interact) into macroscopically divergent fluid dynamic behavior, but I don't know if the relevant Lyapunov time is short enough to make a bullet's flight quantum nondeterministic.
I doubt it. The bullet movement may be chaotic, which means that tiny changes in initial conditions will drastically affect the trajectory, but it is theoretically possible to predict the trajectory. However, it is likely that quantum effects such as the movement of an electron through slits is actually non-deterministic, so we can only predict it in a statistical way even in principle.
