For sure, relax and have a homebrew. The first high gravity beer I did I did without a starter, and it was 1.087 with a yeast that was not rated for high gravity beers. It went a little crazy, blew a little out the blow off tube, but went slowly afterwards for a long time. The yeast handled the eventual 7.5%ABV just fine, and the bottles carbonated nicely. If it went really crazy, it's possible that it spent its load. If it's still going really, really slowly, that's fine too. At 1.06whatever OG, I wouldn't worry. Take a gravity reading if you can't help yourself, but don't be surprised if it's 1.02-3. It's probably still fine. As with any beer over 1.05, I think you can't really over-do the secondary stage.
Anyway, back to the point, I don't think that at 1.065 you're going to out-do your yeast with alcohol. Rock-on, relax, have a homebrew.
Up next: Big Brew Off competition between me and Kaptain Karma as one team, and my two roommates as another--We'll be brewing Pale Ales with specifications on malts, hops, and total yeild to see who's version is better (and to end up with ten total gallons of great beer).
Also up soon: Belgian Dubbel
Primary: Grampa's Woodshed Apple Smoked Porter
Secondary: Zombiefoot California Common, Chocolate Strong Porter
Drinking: Seamus O'Drunkagan Irish Red, Humble Pie Imperial Stout, Capricorn IPA