our faith does NOT accept infallibility and does not even accept a sign from heavens ! (R’Eliezer did not win his debate with the chachomim….in spite of shomayim being on his side !)It is up to us- as human beings- to evaluate our chachomim.
This is incorrect. To see this, note that the reason R’ Eliezer did not win his debate was because the halacha goes with the rabim over the yachid, i.e. the rabim being other gadolim on the Sanhedrin. Thus, this ma’aseh does not constitute proof that it is “us” that evaluate our chachomim. This ma’aseh suggests it is other gadolim who do so.