  This paper is the second in a series exploring the properties of 51 {\it
optically} selected, single-nuclei merger remnants. Spectroscopic data have
been obtained for a sub-sample of 38 mergers and combined with previously
obtained infrared photometry to test whether mergers exhibit the same
correlations as elliptical galaxies among parameters such as stellar luminosity
and distribution, central stellar velocity dispersion ($\sigma$$_{\circ}$), and
metallicity. Paramount to the study is to test whether mergers lie on the
Fundamental Plane. Measurements of $\sigma$$_{\circ}$ have been made using the
Ca triplet absorption line at 8500 {\AA} for all 38 mergers in the sub-sample.
Additional measurements of $\sigma$$_{\circ}$ were made for two of the mergers
in the sub-sample using the CO absorption line at 2.29 $\micron$. The results
indicate that mergers show a strong correlation among the parameters of the
Fundamental Plane but fail to show a strong correlation between
$\sigma$$_{\circ}$ and metallicity (Mg$_{2}$). In contrast to earlier studies,
the $\sigma$$_{\circ}$ of the mergers are consistent with objects which lie
somewhere between intermediate-mass and luminous giant elliptical galaxies.
However, the discrepancies with earlier studies appears to correlate with
whether the Ca triplet or CO absorption lines are used to derive
$\sigma$$_{\circ}$, with the latter almost always producing smaller values.
Finally, the photometric and kinematic data are used to demonstrate for the
first time that the central phase-space density of mergers are equivalent to
elliptical galaxies. This resolves a long-standing criticism of the merger
hypothesis.
