It is not actually true that people are innocent until proven guilty - in reality they've either done something wrong and are guilty or they have not done anything wrong and are innocent. Our law says they are "presumed innocent" under the law until conviced of guilt beyond a reasonable doubt by a jury of their peers. This is why Jeremy is not in jail right now although thousands (perhaps millions) of people are convinced that he abused his daughter. The presumption of innocence does not actually make him innocent if he has, indeed, abused his daughter, and having thousands of people believe him guilty does not make him guilty if he has not.
As for the evidence, there is plenty - Kaylee's claims to her family and psychologist, observations of her mother (diaper changing incident, tongue in the mouth incident), a few physical indications, Jeremy's failure of 2 polygraph tests (yes, it seems clear he failed the second one, too) & lack of cooperation with the hypnotist, Jeremy's non-verbals on the Dr. Phil show that give every indication that the is lying. Whether all this evidence is admissible in court is another matter entirely. Polygraphs, for example, are not admissible because they are not 100% accurate, although a trained examiner, with 20 years of experience of testing those accused of sexual abuse insists he has absolutely no doubt that Jeremy has indeed abused Kaylee.
With that said, evidence can, indeed, be words (although those words must be delivered to the court personally by the one who said them, not quoted to the court by someone else, as happened in the previous court hearing). If we relyed only on physical evidence in sexual abuse cases, the vast majority of abusers would go free because many forms of sexual abuse do not result in physical trauma - only devastating emotional wounds.
Certainly there are cases where people are wrongly accused of abuse. It is rare, though not unheard of, for young children to falsely accuse because they generally do not have the knowledge to do so. But do not be quick to assume that this is a case of a false accusation. With 92% accuracy, the polygraph indicated that Bonni (grandma) is not coaching Kaylee, and Krista has coached her based on the genuine belief that Kaylee really was abused. It is probable, then, that the coaching followed Kaylee's accusations and emotional upheaval, rather than preceeding it. That means that Kaylee's "pee pee" really was touched by someone. Whether it was Jeremy, only he and Kaylee know for 100% certain.