The combination of the MOSDEF and KBSS-MOSFIRE surveys represents the largest joint investment of Keck/MOSFIRE time to date, with ∼3000 galaxies at 1.4 𝑧 3.8, roughly half of which are at 𝑧 ∼ 2. MOSDEF is photometric-and spectroscopic-redshift selected with a rest-optical magnitude limit, while KBSS-MOSFIRE is primarily selected based on rest-UV colors and a rest-UV magnitude limit. Analyzing the two surveys in a uniform manner with consistent spectral-energy-distribution (SED) models, we find that the MOSDEF 𝑧 ∼ 2 targeted sample has a higher median 𝑀 * and redder rest U−V color than the KBSS-MOSFIRE 𝑧 ∼ 2 targeted sample, and a smaller median SED-based SFR and sSFR (SFR(SED) and sSFR(SED)). Specifically, MOSDEF targeted a larger population of red galaxies with U−V and V−J ≥1.25, while KBSS-MOSFIRE contains more young galaxies with intense star formation. Despite these differences in the 𝑧 ∼ 2 targeted samples, the subsets of the surveys with multiple emission lines detected and analyzed in previously published work are much more similar. All median host-galaxy properties with the exception of stellar population age -i.e., 𝑀 * , SFR(SED), sSFR(SED), 𝐴 V , and UVJ colors -agree within the uncertainties. Additionally, when uniform emission-line fitting and stellar Balmer absorption correction techniques are applied, there is no significant offset between the two samples in the [O III]𝜆5008/H𝛽 vs.[N II]𝜆6585/H𝛼 diagnostic diagram, in contrast to previously-reported discrepancies. We can now combine the MOSDEF and KBSS-MOSFIRE surveys to form the largest 𝑧 ∼ 2 sample with moderate-resolution rest-optical spectra and construct the fundamental scaling relations of star-forming galaxies during this important epoch.