The current data on epsilon(K), epsilon'/epsilon(K) and the B --> J/psiKs asymmetry are all compatible with the Kobayashi - Maskawa (KM) paradigm for CP violations with the KM angle gamma approximate to 55degrees. Despite this fact, we point out that a possibility still exists that the bulk of observed CP violations come from new physics, such as supersymmetric (SUSY) models, and that the KM angle gamma can be much smaller. We give an explicit SUSY model where SUSY flavor problem is solved by an alignment mechanism based on the nonabelian flavor symmetry group (S-3)(Q) x (S-3)(U) x (S-3)(D). We also show that a real Cabbibo - Kobayashi - Maskawa (CKM) matrix is still compatible with all the data currently available in such SUSY models, and we discuss how to distinguish this class of SUSY models from the standard model (SM).