Are there problems with locality and Bell's inequalities?

No. Bell's inequalities are of a purely kinematic nature and have nothing to do with dynamics. See Sections 7 & 8 in EEEQ.

Non-locality of the classical deterministic dynamics of the quantum universe follows from the fact that most objective quantities are non-local.

The most important observable non-local quantities are the correlation functions <F(x,s)F(y,t)T>, where F is a field with expectation value 0 and arbitrarily many components. These obviously depend on values at two different points, and are therefore non-local.

Thus one does not need to introduce ghosts as in Bohm in order to get a classical non-local dynamics fully consistent with quantum mechanics.

Arnold Neumaier (
A theoretical physics FAQ