  We perform a comprehensive study of the Higgs sector of the Minimal
Supersymmetric extension of the Standard Model in the case where all Higgs
bosons are rather light, with masses of ${\cal O}(100 GeV)$, and couple
maximally to electroweak gauge bosons and strongly to standard third generation
fermions, i.e. for large values of the ratio of the vacuum expectation values
of the two Higgs doublet fields, $\tan \beta$. We first summarize the main
phenomenological features of this "intense-coupling" scenario and discuss the
available constraints from direct searches of Higgs bosons at LEP2 and the
Tevatron as well as the indirect constraints from precision measurements such
as the $\rho$ parameter, the $Zb\bar{b}$ vertex, the muon $(g-2)$ and the decay
$b\to s \gamma$. We then analyze the decay branching fractions of the neutral
Higgs particles in this regime and their production cross sections at the
upcoming colliders, the Tevatron Run II, the LHC, a 500 GeV $e^+e^-$ linear
collider (in the $e^+e^-$ and $\gamma \gamma$ options) as well as at a $\mu^+
\mu^-$ collider.
