As a self-confessed "fixie hater" I have to say on the face of it that's a nice looking bike and not what I would call a fixie. I use the term fixie for those fashion-victim, no-brake, deep-dish wheeled.... you get the picture. Like other old stick-in-the-muds I really hate it when someone takes a really nice road frame and grinds all the braze-ons off!
I have absolutely nothing against bikes with a fixed wheel - I used to ride one to work when I lived in flatter parts and even rode some time trials on fixed.
Unfortunately for you, as you've found out, that Jackson frame isn't really suitable for riding fixed with those dropouts and this is where I would call it a day and find another frame rather than bodge it. At least you haven't stripped the paint and removed the gear hanger etc. so if you do pass it on the new owner can run it with gears.
Mark.