We've been trying to reform the institutions for decades. It doesn't work. It's also disingenuous to say that an attack on an institution is a defence of a guilty party. Especially when the institution creates the culture that allows those crimes to be committed.
"We" haven't reformed it, a very small set of politicians (the same ones you profess to despise) have.
I mean look at the BBC - gone from a public service broadcaster that generated much of its own content (and very well too) which had its own culture, values and independence to (via a load of reforms) something stuffed with political appointees. Something which is cowed into going along with whatever the government of the day wants and which has to prostrate itself every time the licence fee comes up again.
You can say much the same thing about the Army (cut to ribbons in each successive review), the Navy (ditto), the NHS (in receipt of ever greater funding solely to prop up the financial scams imposed on it), the Police (cut
and politicized), the Judiciary, tertiary education (student debt), constitutional norms and traditions and especially Parliament. "The Establishment" has been fairly consistently attacked (rather than "reformed") for the past forty plus years.
Napoleon said "there are 2 levers that motivate men. Fear and self interest".
It's the same as giving a donkey the carrot or the stick. That's our problem now, we're too soft to use the stick. People like Savile or any other corrupt slime balls need to feel fear, genuine fear. Fear that once they are caught, and they will be caught, that the consequences will be dire. Same goes to those who are running cover or just too scared to speak out. They should be more worried about not speaking out.
So why then do you want them to get away with it? If you want to scare corrupt people, look at what they are afraid of, what they've tried to destroy here and then restore (or improve) that.