A pretty speech, but ultimately devoid of any real content.
"First, my case has been made for me; nobody (but perhaps yourself) is willing to argue that an absence of evidence is in fact evidence of absence. The step to absence requires ... actual evidence."
Again, sorry, but you're way off base. You're confusing the openness of scientific inquiry to receipt of new evidence with unending doubt and some bizarre definition of "faith." I don't need evidence to "know" there is no tooth fairy. I don't need evidence to know the government hasn't implanted microchips in everyone's brain (yet) and that Kennedy wasn't killed by a cabal of aliens working with the United Order of Freemasons. (kidding btw) Just because someone can dream up a scenario based on nothing but the flimsiest of imaginary materials and then claim that I can't DIS-prove it, doesn't make me "religious" for ignoring it. It just makes me a very healthy skeptic (you should try it). Which in turn is shorthand for saying that I trust that which CAN be proven, examine the rest critically, and live quite comfortably with the ambiguity that some questions have yet to be answered and don't feel the need to see bogeymen in every bush to help give me a "meaning of life."
The rule you propose would leave us hostage to every paranoid's worst fantasy and every dreamer's nonsensical ramblings. To establish a scientific truth I need (and with apologies to Kuhn and far better theorists than I) a workable consistent hypothesis that makes real testable predictions about the world, and a set of ever-growing empirical results that are consistent with those predictions. Most religious beliefs, to be frank, fail pretty miserably on these fronts. Which is fine, by the way. Religion need not be science and science is certainly NOT a religion. There is no god, no prime mover, no willingness to take things on faith, no parables about how one should or should not live one's life. It is only a very useful way of examining the world and understanding how it works. Its' value is not in that it tells us how to live. Its' value is in the fact that a bridge once built, will stand. A medicine administered will treat a disease. A key turned will in fact reliably start my car. In short, it's not the what, but the how.
The proposition that I can't disprove the existence of God in the absence of any compelling evidence that such a being might exist in the first place is a solution in search of a problem. Just because many people believe is absolutely useless as a proposition -- people observably believe in lots of crazy things both God- and non-God-related, and beleivers in one religion routinely ridicule those of another. Your reference to Occam's razor is apt -- in the absence of any affirmative evidence, and with plenty of proven explanations for existing phenomena, we need not resort to needlessly contrived and fanciful explanations.
As to your "public square" and your home comment, please knock off the victimization nonsense. Couldn't care less what you believe or where you believe it. No one is trying to tell you what to believe or practice "in your home." The fact that atheists such as myself or that people who are of minority faiths get pissed off when you try to get OUR government (yours, mine, theirs) to represent and favor your point of view is pretty natural. Stop trying to evangelize using my tax dollars and you'll hear no further objections from me.