Honest it isn't even close. Out of a carbine in particular the .223 at that range will do far more damage than a mere .45 ACP. The bullet, moving over 3,000 fps, is likely to blow apart and take an impressive portion of the person with it. The ACP will bore a good hole and pack a punch, but it's not going to have the same explosive effect on tissue.
That's not to say the .45 ACP isn't a fine pistol round. But it's a PISTOL round. It's not an intermediate round. You're really comparing apples and oranges. The .45 has a huge advantage when it comes to carrying the pistol around or concealing it. But if you don't have to conceal it, you'll want something more potent if at all possible. The concerns about hearing loss if you're about to die seem a little off base, as well.
Look to the Miami Shootout for a good example of what happens when sidearm-armed officers go against a .223 carbine. The results were devastating and tragic.
Richard Manauzzi Injured (unspecified injuries).
Gordon McNeill Seriously injured by .223 gunshot wounds to the right hand and neck
Edmundo Mireles Seriously injured by a .223 gunshot wound to the left forearm.
Gilbert Orrantia Injured by shrapnel and debris produced by a .223 bullet near miss.
John Hanlon Seriously injured by .223 gunshot wounds to the right hand and groin.
Benjamin Grogan, 53 Killed by a .223 gunshot wound to the chest.
Gerald Dove, 30 Killed by two .223 gunshot wounds to the head.
That's all from one suspect's Mini-14. They kept hitting him and he kept shooting. You don't bring a handgun to a rifle fight.
http://www.firearmstactical.com/briefs7.htm
No, they're not. Look at the gel testing. Look at the real world results. At that range in particular the 5.56/.223 hits like a freight train and will create enough temp cavity to do serious secondary damage to organs. The result is a mass of inoperable tissue, even if the subject lives long enough to get to a hospital. A .45 ACP, FMJ or HP, is a big slow slug that bores a nice hole. It is surely lethal, but not in the same category as a .223. And with the .223, even glancing wounds and wounds to arms and legs can be enough to knock a person out of action immediately. The super high velocity leads to bullets that can turn bones to shrapnel, so a hit to the hand doesn't bore a hole through it but turns it to hamburger.
In contrast, you can go on youtube and see many videos of unfortunate folks shooting themselves with sidearms and limping away, continuing to talk or curse. And that's CONTACT wounds. It takes little imagination to picture the results from a .223 in similar circumstances. Lordy.