It seems to me that not believing you is the right thing to do. Childhood amnesia is well-studied; false memories are equally well-studied and are easily formed; since the former is more probable than an exception to the latter, unless you have additional evidence (which you can't really produce), I have no reason to believe your claims.
It's more probable that you reconstructed those memories from stories told by other people, even if you forgot hearing those stories before remembering the event, than that you're an exception to a well-studied and widely documented event.
Cognitive psychology is hardly psuedo-science, and in this instance, there were no polls conducted. This was a longitudinal study that took considerable resources to conduct and involved a seemingly well-designed experimental test. The findings are entirely in line with what the rest of the data in the field suggests, so it shouldn't be controversial. There were no polls involved, either.
It's frustrating to believe something that contradicts most available evidence, and it must be even more frustrating to not have a way to demonstrate the truth of such a belief. You'll notice that even this article doesn't claim that all memory prior to age 7 is irretrievably erased, and it's fully possible you truly have the memories you have -- but it's nonetheless improbable, and it isn't wrong to disbelieve you.