Pedal
4.
to work or use the pedals, as in playing an organ or propelling a bicycle.
5.
to work the pedals of (an organ, bicycle, etc.).
Peddle
1.
to carry (small articles, goods, wares, etc.) from place to place for saleat retail; hawk.
2.
to deal out, distribute, or dispense, especially in small quantities:
to peddle radical ideas.
3.
to sell (drugs) illicitly.
4.
to go from place to place with goods, wares, etc., for sale at retail.
5.
to occupy oneself with trifles; trifle.
Something tells me that although you can certainly peddle radical ideas (2) while pedaling, when people misuse “peddle” for “pedal”, that’s probably not what they’re going for.