A major goal of experimental particle physics over the next decade is to measure the sides and angles of the Unitarity triangle redundantly, and as precisely as possible. Overconstraining the triangle will test the Cabbibo-Kobayashi-Maskawa model of quark mixing. The CDF collaboration, due to begin a second run in March 2001 with major upgrades to both the accelerator and the detector, will study the angle Beta using B0 decays, the angle gamma using B0 and B0(s) decays, and a side of the triangle through the observation of B0(s) - B-bar0_s mixing. Projected sensitivities are driven mostly by previous measurements using data from the first run. One highlight of the Run I B physics program is a measurement of the CP violating parameter sin 2Beta = 0.790.41_-0.44, based on a tagged sample of 400 B0 decays in the mode B0/B-bar0 --> J/psi K0(s). The technology of flavor tagging, used here as well as in numerous B0 - B-bar0 mixing analyses in run I, is crucial and will be augmented in Run II with better particle identification capabilities. Exclusive all-hadronic final states will enter the data sample in Run II through a new displaced track trigger.