Disclaimer: I've read 1984 but not Brave New World, so my understanding of Huxley's distopia is second-hand.
Anyway, clarification.
On Conservatives- As Grefter aludes to, you have to keep in mind that 1984 keeps control over society in separate ways for the working class (proles) and the white-collar class (such as Winston, the protagonist).
Anyway, the thing to remember is that the typical things associated with Big Brother (the TVs you can't turn off with continual two-way monitering, the secret police, changing history to match the present) are restricted to the white-collar class. The proles, for the most part, are left alone, and controlled through rationing and patriotic fervor; the reason Oceana is always at war is to create visible enemies and shortages to make this possible. While rationing in modern society is something that'd be tricky to argue at this level, the idea of creating a highly visible foreign enemy and continually enforcing patriotism against them resembles quite strongly a lot of modern conservatism.
On the higher class end, you have the unlimited police powers, continual spying, giving them a tiny bit more than the proles, and the 10 minutes of Hate, directed very specifically against the "traitor to the Party/Big Brother". You could argue all day about which party demonizes the other more, but if you look at sideways, the continual preaching about compromised family values, the bigotry against homosexuals, and many issues bundled up in that package are also an easy stand in. and, generally, well off folks tend to be conservative (and even the ones that aren't think of themselves as such, since they aren't non-tax paying hippies and immigrants), and so you get a lot of propaganda telling them that liberals are trying to increase their taxes, take their guns, and impoverish their children.
On Liberals- Well, the comic in the original link was essentially a giant list of all the ways many americans are distracted from real issues by pleasures, trivialities, and entertainment. While lots and lots of people fall into this, my experience is that Conservatives are more likely to find such things insulting and stupid, which suggests in turn that left-leaning folk fall into it harder.
And... I dunno, I find that "won't someone PLEASE think of the children!!" is pretty universal to certain segments of both sides.