The trouble with your examples given is that Jupiter is a gas giant and we do have evidence to proof that no life, that we know of, could survive there and thus there IS some evidence to support that claim is not true.
No life that we know of. But the Keepers of the Lodge Keys of Jupiter, if they exist, must have very different requirements for sustaining life than we have. Dhyani Ywahoo says she communicates with them, and you can't prove she doesn't. You just have faith (according to your definition of faith) that they don't exist, and your faith is no more likely to be true than hers (according to your own view of probability).
And the wicked witch of the west and her flying monkeys are a work of fiction as a result there is evidence to support that I am NOT one of those flying monkeys.
You have faith (your definition of faith again) that the Wizard of Oz is a work of fiction. Maybe I have faith that it's the inerrant Word of God. One faith is as likely as the other to be true, according to your argument.
If neither side can be proven and both have equal amounts of evidence then both are equally likely. If this is not so then how do you figure which answer IS more likely? By discarding that which seems most absurd? How do you determine what is "absurd" and what is not? Is there another way you decide which is more likely?
The burden of proof is on the one who makes the positive claim. Dhyani Ywahoo claims to communicate with the Keepers of the Lodge Keys on Jupiter; I claim (facetiously) that you are the reincarnation of a flying monkey; Muslims claim that the Qur'an is eternal and inerrant; some Christians claim that the Bible is inerrant; you claim that there is a god. According to your argument, all of these are equally likely to be true. In my view, all of them are unlikely to be true, since there's no evidence for any of them. The opinion that a statement for which there is absolutely no evidence is unlikely to be true is not a "side" that needs substantiation and evidence. It's the reasonable position on any unevidenced statement of fact.
If someone claims (and many do) that Abraham Lincoln was the son of Abraham Enloe, I tend to doubt it, but I acknowledge that it might be true, because "non-paternity events" occur very frequently, and can be demonstrated objectively through blood tests and DNA tests. I'd still like to see some more convincing evidence before I accept the Enloe claim.
In the case of divinity, people frequently claim to experience the divine, but they never provide any objective evidence. We have no objective means of verifying or falsifying their often fantastic and contradictory claims. In those circumstances, it's as reasonable to disbelieve their claims as to disbelieve Dhyani Ywahoo's claims or the "flying monkey theory" of your past life.