False dichotomy presented in the title. The two are not exclusive, but work in tandem.
Everyone acts on faith. Every time you push the accelerator to drive through an intersection, you are acting on faith that cross-traffic won't run the red light to slam into you. You do this based on certain evidences and logical processes. Nevertheless, there is no conclusive proof that you won't be broadsided and killed; which in fact, occasionally happens.
The two important questions are, in the architectural construct that forms your belief system, what percentage of the structure is comprised of faith, vs. hard evidence and logic, and how is that percentage distributed in the structure. If the foundation is primarily composed of faith, the structure will unstable, and susceptible to crumbling if given a good shake. If, however, faith is built upon a foundation of evidences and logic, the structure is more stable and will withstand many challenges.
That's why I don't mind being lumped in with such mentally deficient types as C.S. Lewis, Dostoyevsky, A.E. Wilder-Smith, and so on.
Don't forget Thorne Smith! (Google it if you don't know.)