No, "perspectives" are not capable of "demonstrating." That's not what a "perspective" means, and not what one can do.
And the existence of many wrong answers does not logically imply the non-existence of a right one. So even if there are an infinite number of wrong answers to 2+2=, that does not imply there's a problem with the answer 4. No number of false answers to "What is the capital of Uganda?" mean that the capital city of Uganda is not Kampala. It does nothing to say, "Well, people have thought it was Addis," or "My cousin Phil told me it was Harare." There will still be a right answer, and neither Addis nor Harare will be it.
Likewise no number of false statements or beliefs people have held about God implies there is, or can be, no right answer about the existence or nature of God.