We examine neutrino oscillations in a two Higgs doublet model (2HDM) in which the second doublet couples only to the third generation right-handed up-fermions, i.e., to t(sub R) and N(sub 3) which is the heaviest right-handed Majorana neutrino. The inherently large tan (beta) of this model can naturally account for the large top-quark mass and, based on a quark-lepton similarity ansatz, when embedded into a seesaw mechanism it can also account for the observed neutrino masses and mixing angles giving a very small (theta)(sub 13): -0.96(sup 0) (approx)< (theta)(sub 13) (approx)< 1.36(sup 0) at 99% CL, and a very restrictive prediction for the atmospheric mixing angle: 42.9(sup 0) (approx)< (theta)(sub atm) (approx)< 45.2(sup 0) at 99% CL. The large value of tan (beta) also sets the mass scale of the heaviest right-handed Majorana neutrino N(sub 3) and triggers successful leptogenesis.