Here's an update: try Sharing the note taken with S-Note rather than Sync-ing it with Evernote. The S-Note note gets converted to an image and is attached to a new Evernote note.
S Memo on the original Galaxy Note used to sync nicely with Evernote. But they removed it from the default install of the Galaxy Note 2. Maybe you can find it on the Samsung Apps store? Alternatively, you can try using Skitch which it pretty good for annotating images. I used to use it for taking had written notes, but the latest version doesn't work so smoothly for that purpose...