aries2756: You’re numbers of false accusations are way off. Exactly what is your source for them? False reports are by far a larger percent of reports then you acknowledge. Additionally, that is only reports proven false. There are many more false reports where the victim (the victim is the person *accused* of molestation) is never proven and some even sit in prison falsely as a result of false accusations — whether while awaiting trial that ultimately acquits them or even falsely convicted and sometimes only years later is their innocence proven after they sat in prison for who knows how long, while others innocence are never acknowledged. All the while these victims reputation is destroyed, they are looked at as molesters by community members, they lose their job and friends.
And, no, even allowing ONE victim of a false accusation to be hung is unacceptable. Halacha prefers that guilty people be let go unfairly rather than an innocent person be punished unfairly, when that is the risk/trade-off.