  We demonstrate that a nonzero strangeness contribution to the spacelike
electromagnetic form factor of the nucleon is evidence for a
strange-antistrange asymmetry in the nucleon's light-front wave function, thus
implying different nonperturbative contributions to the strange and antistrange
quark distribution functions. A recent lattice QCD calculation of the nucleon
strange quark form factor predicts that the strange quark distribution is more
centralized in coordinate space than the antistrange quark distribution, and
thus the strange quark distribution is more spread out in light-front momentum
space. We show that the lattice prediction implies that the difference between
the strange and antistrange parton distribution functions, $s(x)-\bar{s}(x)$,
is negative at small-$x$ and positive at large-$x$. We also evaluate the
strange quark form factor and $s(x)-\bar{s}(x)$ using a baryon-meson
fluctuation model and a novel nonperturbative model based on light-front
holographic QCD. This procedure leads to a Veneziano-like expression of the
form factor, which depends exclusively on the twist of the hadron and the
properties of the Regge trajectory of the vector meson which couples to the
quark current in the hadron. The holographic structure of the model allows us
to introduce unambiguously quark masses in the form factors and quark
distributions preserving the hard scattering counting rule at large-$Q^2$ and
the inclusive counting rule at large-$x$. Quark masses modify the Regge
intercept which governs the small-$x$ behavior of quark distributions,
therefore modifying their small-$x$ singular behavior. Both nonperturbative
approaches provide descriptions of the strange-antistrange asymmetry and
intrinsic strangeness in the nucleon consistent with the lattice QCD result.
