Update: this problem is solved with iOS 8. Apple has opened up the operating system, so you can install alternative keyboards on your iPhone or iPad. SwiftKey is working on an iOS version.
I’m just trying out the app SwiftKey on both my iPad and iPhone and it works very well. I can’t understand why they haven’t implemented an URL scheme though. That way you could use apps like Drafts or Editorial together with SwiftKey, and then send text to and from your favorite editor when your done. Hopefully they will implement it soon.
Hopefully they’ll add Swedish to the language support as well.
Swiftkey Note supports Swedish now.