No.
She opened by talking about social injustice and that poor people basically have no chance of achieving anything in this country.
Not Thatcher-like at all.
Exactly

Forgive me if I'm wrong, but I was under the impression that once the new Tory leader is selected he has to stand down immediately? I'm certain its not a requirement that the Prime Minster is the leader of the party that commands the majority in the commons (doesn't have to be an MP, Lords have been PM before, doesn't have to be the largest party - it's the commons majority bit thats important), but it is a long held convention that would make his position even more untenable than it already is if he doesn't step aside immediately.
When he steps aside the newly elected Tory leader will be invited by the Queen to form the new government.
I don't see any option here for Cameron to try getting Commons support for an early election. Hell, he'd need the support of is own part who just elected a replacement PM.
Politics is so weird right now that he could be making his final speech to the Commons and then right at the end "Oh, and <next Tory leader>, there's a general election and it starts.... RIGHT NOW" as he drops the mic, dubstep music starts blaring and confetti rains from the roof.