It seems through the whole Doctor Horribe's Song, DH is getting it all backwards:
“Hammer meet nail”. The nail doesn't defeat the hammer. They are also meant to work together and not against each other.
A society that has already slipped causes rioting and not rioting causing a society to slip.
The people didn't go there for a slaughter. Unlike screaming sheep, there's nothing to tell the people what's about to happen.
Lemmings don't drown themselves (and the urban legend was that they did only when overpopulated). In the only footage shown (from Disney), they were coaxed into the water and not simply led to the water. There is no mass-suicide. Migration? Yes. Suicide. No.
“No one condemning you”? After CH killed Penny, they condemned DH. Actually, they judged DH throughout the whole DH song, cowering. He even contradicts himself later with “you're beginning to fear me like cavemen fear thunder.” When thunder wasn't understood, it was pre-judged to be worthy of fear.
He said that CH's disguise was slipping when he, DH, was really enforcing the hero vs. villain stigma on CH vs. DH. CH's disguise didn't slip until he got hurt.
“Anarchy that I run.” Nobody runs anarchy.
“And social change” after describing how society is a mess and saying that he's going to upset the stability. That's not a change.
“This world is going to burn!” Well, what the heck would you do that fer? Ruling over a toasted, dead planet doesn't sound like fun to me.
The only thing he got remotely correct was: “I still have to wonder can you really hear me.” Well, duh. Of course not when you're speaking in backwards (back-worded) riddles, you goof!
He's no more good with words as DH than he was as Billy.