  A variety of supersymmetric models give rise to a split mass spectrum
characterized by very heavy scalars but sub-TeV gauginos, usually with a
wino-like LSP. Such models predict a thermally-produced underabundance of
wino-like WIMP dark matter so that non-thermal DM production mechanisms are
necessary. We examine the case where theories with a wino-like LSP are
augmented by a Peccei-Quinn sector including an axion-axino-saxion
supermultiplet in either the SUSY KSVZ or SUSY DFSZ models and with/without
saxion decays to axions/axinos. We show allowed ranges of PQ breaking scale f_a
for various cases which are generated by solving the necessary coupled
Boltzmann equations. We also present results for a model with
radiatively-driven naturalness but with a wino-like LSP.
