Re: The Swedes do not want him.
"the whole thing was to extradite him to the US"
If the US had tried to extradite him from Sweden there's a good chance they'd have failed (short version, Sweden doesn't allow 'political' extraditions). That said, they could have just applied to Sweden for extradition, there would be nothing to gain from 'faking rape charges' as some of his supporters seem to think.
Instead he ran to the UK completely voluntarily, despite the fact that the UK is probably one of the countries in Europe most likely to extradite to the US. So he's made things worse for himself there.
You'll also notice that during the two years that he was on bail in the UK, the US didn't try to get him extradited. That's clearly a decision they've made since 2012, so no "the whole thing" wasn't to extradite him to the US. They've just take advantage of his string of bad decisions.