I'm not going to bother googling for the evidence that should be provided to back up a claim that's made. The burden of proof is on the one making the claim. I find claims about the danger of artificial sweeteners to be conspiracy-theory based.
This is just a general comment, not directed at anyone in particular: if anyone wants to convince me that these products really are dangerous to the population as a whole, when taken at the recommended/usual amounts, then they would need to provide links to scientific literature of a sufficient standard. Because I have read articles referring to studies that meet this standard, and they have found that products like aspartame are safe (for everyone except people with phenylketonuria). For example:
https://www.sciencebasedmedicine.org/are-artificial-sweeteners-safe/
Another source with extensive information about aspartame is this relatively recent letter from the FDA. I think if the FDA had wrongly approved it in 1981, they've had plenty of time to rectify that:
http://www.snopes.com/medical/toxins/aspartame.asp
Aspartame is one of the most frequently searched topics on snopes.com. When snopes says claims that a product represents widespread danger are unfounded, then I find that convincing. They have no interest in being fooled.