You are abusing that statement. It demonstrates that we may merely lack the means of probing god, but offers no proof that he exists. We may lack the means of probing faeires, but any reasonable person would agree that they don't exist. And a reasonable person would have to make the same claim to god.Additionally, due to the 'sufficiently advanced science appears as magic' and 'scientifically proving everything is impossible' means that even if God said 'here I am, probe me' we would still be left without scientific proof that He was God.
Your philosophy is untenable.