You have said, "We can only know what we know through [our senses]..."
This statement, hereinafter referred to as radical empiricism, is extremely doubtful. First of all, how can you claim to know that all knowledge comes from sense experience? Could you demonstrate to me using nothing but sense experience that the above is true? If not, then you are basically saying that you know this to be true through a method that does not include sense experience. If true, this statement would be considered self refuting.
On the other hand, if you accept that some things can be known without recourse to sense experience, then what is to stop someone from merely saying that he or she knows (without need for evidence or sense experience) that God exists (or Allah, Zeus, Thor, or whomever). I can certainly understand your desire to extinguish these kinds of claims, but I cannot accept the idea that all knowledge comes from sense experience until you provide me with a sense experience that demonstrates it.