When someone says, "clearly false", it should be (and in this case is) referencing the absence of any proof at all for the extraordinary claims. In this case, people who defend religion have a burden of proof here. Perhaps more precise wording would be: "arbitrary and totally unverified".
This is why I brought up fairy tales. They are just as arbitrary and unprovable. Do you think we should seriously explore them as well? If not, why does religion get a pass - because so many believe it? Let's not have science by vote of the masses. After all, the scientific consensus is that religion is false ;-)
Why not? I find it quite astonishing how often starting with verifiably false assumptions leads to worthwhile results. Your tower of reason is a decent construction. I find it a nice place to visit, but sometimes I prefer the woods. A mind too well-ordered misses the faults in its own assumptions.