The sensory experience argument is a philosophy that, while technically true (to a degree), is irrelevant to anyone except solipsist. (Is that the right word?)
The concept is that no matter what you experience, it's all within your own experience; you have no way of knowing for sure that there isn't some strange source of sensory input that you're receiving fooling your mind (a la Matrix).
However, unless something is about to go horribly wrong with this 'Matrix' the philosophy is irrelevant. Otherwise, no one would ever advance, or even survive, for fear and doubt about the 'real world'.
The simple fact, skimming off the veneer of philosophical nonsense, is that our senses provide us sufficient consistant data that we can make reasonable and fairly accurate assumptions about the nature of the real world - and since we continue to receive consistant details, we can reasonably expect to continue to do so.
As to 'sensory experience of Yahweh"... the fact is, no one currently alive has accurate sensory experience of Yahweh, Yeshua ben Yosef, or any other significant religious entity (internal sensory experience, i.e. a 'feeling' or 'thought' aside). Therefore, Yahweh doesn't fall into the same category as Iacchus or myself.
Furthermore, those who claim the Bible is the 'Inspired Word of God' and therefore proof positive of God's existance, fail to acknowledge or perhaps are unaware of the fact that the Bible is a collection of about 10-20% of the 'holy writings' of the Christians and Jews, the remainder having been rejected at various points by the Church (composed of human beings), and the remaining texts have been analyzed and proven to be written at different times and by different persons that the texts themselves claim. The entire Christ story, in fact, appears to have been written almost entirely after the death of Yeshua ben Yosef, and get more fantastical the longer after his death they were written.
Apparently, God tends to inspire tall fish tales...