I solved this problem. My pedals were designed with metal toe clips. For safety reasons I removed the metal clip and replaced them with soft strap toe clips I found at REI. However, I found it annoying that the new toe clips were always pointed downward. It took me several seconds while starting my ride to get my foot into the left toe clip.
I noticed that my pedals were weighted on the bottom side with two metal weights. My goal was to add a weight to one of the bottom side weights of just the right weight to flip the pedal to normally sit with the toe clip on top.
This required some experimentation. I found that a small test magnet would attach itself to the metal weight already on the pedal. If your pedal doesn't have a part that will attract a magnet attach a fender washer. I then used Magcraft NSN0802 Rare Earth Magnets that I bought from Amazon.com.
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These magnetic disks are far stronger than normal magnets. I bought a 0.2 x 1.2 x 6 inch steel support from Home Depot. I determined the approximate weight that I needed by attaching some small spring clips. I needed about 1.5 ounces per pedal. Using an accurate scale and some basic math, I determined the size of the steel support to cut off which was 1.4 inches. I then attached my steel weight to the rare earth magnet. I was able to fine tune the angle of the pedal by moving the steel weight higher or lower on one side of the pedal. The weight needs to be attached below the center-line of the pedal on the side of the pedal which is pointed upward. The lower the weight is attached the more affect if will have. (The weight is a moment arm: weight x distance from the center-line).
Make sure the pedal shaft is well lubricated. Spin the pedal and the toe clip should always come to rest with the toe clip up.
You can then test ride the bicycle and the weights should stay put. When you are happy with the pedal positions, I recommend attaching the weights permanently with J-B Weld (a steel reinforced epoxy) to both sides of the rare earth magnet.