Let's face it, despite Charlie Sheen's epic meltdown, CBS isn't going to scrap Two-and-a-Half Men. Say what you will about this low-brow, highly scatological sitcom, it's a deeply entrenched, long-running series on a failing network with few other hits, and it generates tons of revenue.
Think about it: you've already got a show that panders to the lowest mouth-breathing element of the television-watching public, one that's featured an underage character constantly exposed to sleazy adult situations since early boyhood and whose puberty we have been forced to observe. It's a PG-13-rated version of Sheen's lifestyle, served up to the viewing public like luke-warm porn. Why not go all the way, and capitalize on Gibson's volatile persona, put him in that beach house with the fat, sardonic maid and the milquetoast brother and the withering Beverly Hills social X-ray of a mother and just let him go at it about the Jews and the Muslims and Hollywood sugar tits and cops and...I think you get the picture. It'll be ratings gold, because there's nothing America loves more than a spectacular flameout. Let's frame this one in the perfect incendiary setting and be done with it.
So obviously they'll try every means possible to continue it, short of bringing back Sheen, because even in Hollywood you can't tie a nice bow on a stream of anti-Semitic epithets and pretend it never happened. They'll have to replace Sheen with a similar hard-drinking, womanizing sleazeball character -- a cousin or some other extended family member who can stumble out of the woodwork and be introduced into the setting without too much suspended disbelief. It's a time-honored way of getting a few more years out of a wheezy sitcom, like when Sandy Duncan replaced Valerie Harper years ago because of her salary demands. That show was actually called Valerie's Family and it still didn't stand in the way of killing off the main character in a convenient auto wreck.
Actors like John Stamos and Rob Lowe have been mentioned as possible bad-boy replacements, but Stamos is too likeable and Lowe is contractually bound to another series. If CBS were really on their game, there's only one replacement to consider for Sheen: Mel Gibson.