  We present a novel proposal for generating quantum superpositions of
macroscopically distinct states of a bulk mechanical oscillator, compatible
with existing optomechanical devices operating in the readily achievable
bad-cavity limit. The scheme is based on a pulsed cavity optomechanical quantum
non-demolition (QND) interaction, driven by displaced non-Gaussian states, and
measurement-induced feedback, avoiding the need for strong single-photon
optomechanical coupling. Furthermore, we show that single-quadrature cooling of
the mechanical oscillator is sufficient for efficient state preparation, and we
outline a three-pulse protocol comprising a sequence of QND interactions for
squeezing-enhanced cooling, state preparation, and tomography.
