In Checkout page the Save button for payment method selection is unnecessary.
There is already a radio button for payment method which customer has to select - the Save should be hidden function if needed. Now there is double work for customers.
Any ideas about changing the core to work in a more user centric and intuitive way? (question added later)
Maybe you're looking for One Page Checkout? Check 3rd party forum section then.
No Maxim, I am not looking for OPC.