  We show that large ($> 100$ GeV) mass splittings between the charged Higgs
boson ($H^\pm$) and the neutral Higgs bosons ($H^0$ and $A^0$) are possible in
the Minimal Supersymmetric Standard Model (MSSM). Such splittings occur when
the $\mu$ parameter is considerably larger than the common SUSY scale,
$M_{SUSY}$, and have significant consequences for MSSM Higgs searches at future
colliders.
