[quote=Dervish]
I don't think he actually does care at all. The man is a sociopath who uses people and discards them the moment they cease to be useful. He played up his "love" for Catelyn because it hides his true motivation, which is obtaining power. His house is one that's poor and of small standing, so if he married a Tully, he could potentially become lord of Riverrun and move up from there. Ned's brother and then Ned himself fucked that up.With his recent raise up to Lord of Harrenhal, he has the standing to marry Lysa Arryn, Cat's sister, and become Lord of the Vale.By "saving" Sansa, he controls what people believe is the only surviving Stark. He intends to leverage that to become Lord of Winterfell.I won't spoil anything, but he's a fucking brilliant schemer who has no problems manipulating people to make things go in his favour. Let's just say he's one of the primary reasons the War of the Five Kings happened and he seems to be the only one reaping the benefits from it.
Also, that last episode pissed me off with the Cersei/ Jaime thing because it completely is out of character for him to do what he did. He didn't do it in the book, and he was disgusted at when it happened to the Targaryen women.

The fuck, HBO.
[/quote]

Disagree, I'm fairly certain he does/did have genuine feelings for Cat (and by extension, Sansa), as events near the end of SoS (and by extension, further on in season 4) will show, as does his specific history with Lysa, Cat, Hoster Tully and Brandon Stark (and to a lesser extent Ned). You're very right that he's a sociopath that is primarily concerned with the aquisition of power through backhanded dealings and treacheries, but I think he's definitely trying to have his cake and eat it too when it comes to Sansa and her potential role in the political maneuverings to come. 

Full spoilers below:

Also, while I agree that the show as a tad mishandled for that scene with Jaime, you may want to reread that specific section of the book. Jaime totally rapes her in the book too. She repeatedly tells him no, tells him to stop, tries to push him away, even bangs her fists against his chest, but he just goes ahead all the same. The only main differences between book and show are that a) the show doesn't display how Cersei eventually gets equally "into" the act, and b) the actual circumstances of how Jaime arrives there to initiate sexual contact (in the books, that's the first time they've seen each other for almost a year, each thinking the other might be dead, so there's a bit of a catharsis to their meeting and to their sexual activity). In the show, Jaime's been around KL for weeks, so there is no excitement from a reunion, or the parallel between Cersei losing a son but regaining a lover. I think Jaime's actions are actually pretty constant across books and show, with only the direct circumstances differing. He's still a rapist, and he's still a pretty bad dude, regardless. This is the same person who pushed a child out of a window seemingly without hesitation or remorse; his trip across the riverlands, while the first step towards a longer redemption arc, did not automatically make him a good person.