  Using the extensive multi-wavelength data in the GOODS-North field, we
construct and draw comparisons between samples of optical and near-IR selected
star-forming and passively evolving galaxies at redshifts 1.4<z<2.6. We find
overlap at the 70-80% level in samples of z~2 star-forming galaxies selected by
their optical (UGR) and near-IR (BzK) colors when subjected to common K-band
limits. Deep Chandra data indicate a 25% AGN fraction among near-IR selected
objects, much of which occurs among near-IR bright objects (K<20; Vega).
Stacking the X-ray emission for the star-forming galaxies, we find the SFR
distributions of UGR, BzK, and J-K>2.3 galaxies (Distant Red Galaxies; DRGs)
are very similar as a function of K, with K<20 galaxies having <SFR>~120
Msun/yr, a factor of two to three higher than those with K>20.5. The absence of
X-ray emission from the reddest DRGs and BzK galaxies with z-K>3 indicates they
must have declining star formation histories to explain their red colors and
low SFRs. While the M/L ratio of passively-evolving galaxies may be larger on
average, the Spitzer/IRAC data indicate that their inferred stellar masses do
not exceed the range spanned by optically selected galaxies, suggesting that
the disparity in current SFR may not indicate a fundamental difference between
optical and near-IR selected massive galaxies (M* > 10^11 Msun). We consider
the contribution of UGR, BzK, DRG, and submillimeter galaxies (SMGs) to the
SFRD at z~2, taking into account sample overlap. The total SFRD in the interval
1.4<z<2.6 of UGR and BzK galaxies to K=22, and DRGs to K=21 is ~ 0.10+/-0.02
Msun/yr/Mpc^3. Optically-selected galaxies to R=25.5 and K=22 account for ~70%
of this total. Of the radio-selected SMGs to S(850 micron)~4 mJy with redshifts
1.4<z<2.6, >80% could be selected by the UGR, BzK, and/or DRG criteria.
