  We study the quantum fluctuations in the condensates of a mixture of bosonic
atoms and molecules with interspecies p-wave interaction. Our analysis shows
that the quantum phase of coexisting atomic and molecular condensates is
unstable at the mean-field level. Unlike the mixture of s-wave interaction, the
Lee-Huang-Yang correction of p-wave interaction is unexpectedly found here to
exhibit an opposite sign with respect to its mean-field term above a critical
particle density. This quantum correction to the mean-field energy provides a
remarkable mechanism to self-stabilize the phase. The order parameter of this
superfluid phase carries opposite finite momenta for the two atomic species
while the molecular component is a polar condensate. Such a correlated order
spontaneously breaks a rich set of global U(1) gauge, atomic spin, spatial
rotation and translation, and time-reversal symmetries. For potential
experimental observation, the phenomenon of anisotropic polar superfluid
droplets is predicted to occur, when the particle number is kept finite.
