Since Heaven and Hell are not temporal ..

[Neo-Scholastic]

Does not the continued, demonstrable efficacy of those branches of science that do work count as a good enough basis?

Ready, fire, aim. My point was the that science IS efficacious. It's effectiveness has a reason: final causes are at play. Your explanation for the efficacy of science is boils down to 'it works because it works', i.e. circular reasoning.