  We study a minimal flavor violating extension of the MSSM, where higher
dimensional operators in the Kahler potential induce tree level non-holomorphic
Higgs couplings that are controlled by the scale of the physics beyond the
MSSM, and analyze their possible impact on CP violation in Bs and Bd mixing. We
consider results on the time dependent CP asymmetries in Bs --> psi phi and Bs
--> psi f_0 from LHCb, in Bs --> psi phi from CDF and D0 and in B --> psi K_S
from the B factories as well as the measurement of an anomalous like-sign
dimuon charge asymmetry at D0. Taking into account the stringent bounds on the
branching ratio of the rare Bs --> mu+mu- decay, we investigate to which extent
the framework allows to address the observed (2-3)sigma discrepancies in fits
of the unitarity triangle. We find that a non-standard Bd mixing phase, that is
in agreement with the current bounds on CP violation in Bs mixing, requires the
presence of higher dimensional operators both in the Kahler potential and the
superpotential. The corresponding region of parameter space is characterized by
small tan(beta)~5, a light Higgs spectrum with masses below ~400 GeV and will
be probed by future measurements at LHCb.
