The bright, nearby binary α Centauri provides an excellent laboratory for testing stellar evolution models, as it is one of the few stellar systems for which we have high-precision classical (mass, radius, luminosity) and asteroseismic (p-mode) observations. Stellar models are created and fit to the classical and seismic observations of both stars by allowing for the free variation of convective mixing length parameter α MLT . This system is modeled using five different sets of assumptions about the physics governing the stellar models. There are 31 pairs of tracks (out of ∼150, 000 generated) which fit the classical, binary, and seismic observational constraints of the system within 3 σ. Models with each tested choice of input physics are found to be viable, but the optimal mixing lengths for α Cen A and α Cen B remain the same regardless of the physical prescription. The optimal mixing lengths are α MLT,A /α = 0.932 and α MLT,B /α = 1.095. That α Cen A and α Cen B require sub-and super-solar mixing lengths, respectively, to fit the observations is a trend consistent with recent findings, such as in Kervella et al. (2017), Joyce &Chaboyer (2018), andViani et al. (2018). The optimal models find an age for α Centauri of 5.3 ± 0.3 Gyr.