Scottie,
Reversing your forks will of course move your front wheel back maybe 2 or 3" which will definitely increase your trail by that same amount. It moves the center of the wheel back from the steering axis (a line drawn down thru your head stock center bolt) which lengthens the steering arm and makes turning in either direction require more force. It does not increase rake. It actually slows down the steering. This is considered a good thing in land speed racing, but it doesn't prevent speed wobbles by itself.
In my opinion, speed wobbles can be caused by any of a number of undesirable characteristics of your steering, wheels, frame, etc. A few things that you should look at are wheel balance, wheel run-out, wheel straightness, wheel bearings, spoke tightness, tire pressure, forks bushings, fork oil and springs, triple clamps bolts, axle bolts and axle caps, center bolt bearings, center bolt tightness (not too tight but no play), frame stiffness, swing arm bushings, swing arm stiffness, as well as rear wheel issues as above. Any or all of these things can contribute to initiating a speed wobble and the old British forks are not strong enough to allow the steering to recover if it does get into a wobble. A good steering damper strongly mounted can help but will not solve all the issues. In short, every part of the bike is important and becomes more so as speed increases.
Tom