"Your honor, I was innocent of that prior crime and it shouldn't be used to enhance the sentencing of this current case, nor to influence the jury's perception."
"I'm sorry, it says you weren't found guilty; it doesn't say you were innocent."
Now extrapolate this to your friends or potential employers.
"Sure, LorenPechtel wasn't proven guilty of murdering 500 orphans as accused, but he never fully proved his innocence with a detailed and corroborated minute-by-minute log of his activities for the past 5 years. So maybe he did it!"
It's innocent until proven guilty. Not guilty until proven innocent. A third category would be abused to high heaven, and the courts already engage in far too much abuse.
Except for plea bargains, where it is often "innocent until bullied into accepting a plea deal as the better option - even when you didn't do it". No need to prove anything there.