After thinking about making the logo more distinct, I came to the conclusion this can't be done without updating the whole coin design. Most of the time, across the numerous exchanges and information sites, the coin image will represent I0coin without the rest of the logo being present.
Below is my updated coin design. In this new design I include both the numeric "0" with a slash and the written word "zero". This should remove confusion about it being a zero or letter "o". I dispensed with the "I". It is not really needed, and it looked like an "X" when I put the slash through the "0". As the coin is reduced in size the "zero" words become less visible, but the numeric "0" stays visible to quite small coin sizes. I've provided various sizes for comparison. The color of this design is more of a golden hue than the orange of the existing. If the community likes the new design I'll also provide them for download on the website.
Again, feedback is welcome. This coin redesign is the first step. Once it's acceptable I'll complete the rest of the logo.
New coin design for I0coin: