Hi melgoth,
I'm sorry but I'm not sure if I am understanding you correctly. To edit a deck, the normal process is:
1. Click Edit Deck
2. Make any changes in the deckbuilder
3. Click Analyze Deck
4. On the next page (where the "Unsaved changes!" message is displayed), click Save Deck.
5. Your changes have now been saved.
Does this not work for you?
Or do you mean that you want to save the deck, but continue editing afterwards? So you want to go from step 4 to step 2, without clicking "Edit Deck" again?