I can't see how it can't.
Remember the political compass I posted? Notionally all three parties are to the authoritarian right - Tories more right and Labour more authoritarian. There's not a lot of uncommon ground here - and the Lib Dems are nearer the Tories than Labour. Cameron's idea of "Big Society" is, actually, an old Liberal ideal. Remember the gags about Blair being the most successful Tory Prime Minister?
I've had to laugh as I've been driving the new car home today listening to people on the radio saying the Tories shouldn't be allowed to make a government because "the majority of people voted centre-left". No, 88% of people voted Lib/Lab/Con, which is right - and not even centre-right. Same ideas, similar execution, different colour ties.