We explore correlations between visual extinction and polarization along the western side of the Infrared Astronomical Satellite (IRAS) Vela Shell using a published polarimetric catalog of several hundred objects. Our extinction maps along this ionization front (I-front) find evidence of clumpy structure with typical masses between 1.5 and 6 Msolar and a mean length scale L~0.47 pc. The polarimetric data allowed us to investigate the distribution of the local magnetic field in small (~parsec) scales across the I-front. Using the dispersion of polarization position angles, we find variations in the kinetic-to-magnetic energy density ratio of at least 1 order of magnitude along the I-front, with the magnetic pressure generally dominating over the turbulent motions. These findings suggest that the magnetic component makes a significant contribution to the dynamical balance of this region. Along the I-front, the mean magnetic field projected on the sky is 0.018+/-0.013 mG. The polarization efficiency seems to change along the I-front. We attribute high polarization efficiencies in regions of relatively low extinction to an optimum degree of grain alignment. Analysis of the mass-to-magnetic flux ratio shows that this quantity is consistent with the subcritical regime (λ<1), showing that magnetic support is indeed important in the region. Our data extend the overall λ-N(H2) relation toward lower density values and show that such a trend continues smoothly toward low N(H 2) values. This provides general support for the evolution of initially subcritical clouds to an eventual supercritical stage.