Hey George. Forgive me. I thought that you were an 'old fart' like me!
Your Fuji frame was made during a transitional period when 'direct mount' rear drlrs, like yours, were just coming on the scene. You have Horizontal dropouts as opposed to Vertical. Most modern bikes employ Vertical as wheel removal is easier and also eliminates your part in question.
For the life of me, I can't remember what they are called.
Their purpose was to center the axle Left to Right so that the wheel sat true. Your Fuji is missing the Left side part. Both sides should have one.
The advent of Quick Release hubs, like yours, is what prompted this little part. Vertical dropouts and tighter tolerances on frame jigs eliminated that part. Any LBS that has been around for some time probably has a few in a parts bin, even if the young mechanic has no clue what it is. Try asking for a "10 spd Banjo". Banjo's are often used on BMX bikes to fine-tune chain tension.
Without the part in the left dropout, your wheel may have a tendency to let the axle move rearward on that side under hard torque.
Another alternative is to remove that part so that both sides of the axle rest in the rear-most part of the dropout. You will increase the wheelbase by, maybe, 1/2". Make sense?
Wheelies don't pop themselves. (from a QBP fortune cookie)