D'oh - thanks for alerting me - I meant to use the word omnipresent .
In which case, let me offer one possible failure of the Omnipresent God evidence theory...
There are many who believe that the very substance of the Universe is synonymous (SP??) with God... that God's body is the very fabric of reality, and each atom is but an atom of God's body.
This is logically consistant if God created the Universe, which includes God (Universe meaning All That Is), though it is circular and leads to the rather boggling idea that God created God... which is what the Bible suggests. But, if we continue this thinking, we see that every natural and man-inspired event is the will of God, because we are all part and parcel of God. This also implies that God is neither good nor evil, or at least, that good or evil as determined by Man is of no consequence to God. It further removes our ability to anthropomorphize God (is that even a word? Anthro-whatever, not God), since it implies that God's thought processes are beyond anything we can even consider - that it is alright for God to give life, take life, allow and even cause suffering, etc. - and it removes any stigma from sin, any fear of hell and damnation, and any requirement for worship.
It also effectively removes any ability to prove or disprove the existence of God, and at the same time, leaves us with, what I believe, is a rather sobering thought - that we are all more interconnected than we imagine, being merely fragments of God ourselves.
Anyway, my ADHD is flaring up, so I'm having difficulty concentrating on this subject - hope I didn't ramble too far off base.
edited to correct spelling of parcel - sadly, didn't think to correct other misspellings (too lazy to be bothered)