Do realize that in the recent past, people had a good working idea of electric circuits, but they never once used the word electron to explain them. They didn't know which type of particle was carrying the energy.
99 times out of 100, you can think exactly as people did in the eighteenth century, and never even once use the word electron...and still understand how your circuit works.
Positive charges CAN move, but usually aren't the energy carriers in most circuits that we build in metal wires. ELECTRONS are the energy carriers in most manufactured circuits.
The misconception occurs due to the fact that we define the "current" as it was understood before people were familiar with electrons. Let's give a full and better definition of current:
Current: the HYPOTHETICAL flow rate of positive charges that will produce the same field effects as whichever actual charges are doing the flowing.
Many people blame Benjamin Franklin for his ignorant mistake when defining sign convention, and imagine that the following is the first action that would be taken once a time machine is invented:
But, we must also realize that the electron doesn't have to be the charge carrier. IT only is in most circuits made by man's technology. BUT, if you examine what nature made when making animal neurocircuits, it ISN'T free electrons that carry the energy...it is POSITIVE ions of usually sodium (sodium ions are 11 positive protons, 10 electrons and 12 neutrons...so they are net positive particles). So sometimes there is a positive charge carrier, and other times, there is a negative charge carrier. There usually isn't a dual charge carrying though.
In metal wires, we don't see the positive nuclei of the metal atoms move, because they are constrained in a crystal structure, AND they have thousands of times more inertia than the electrons. They aren't significant in carrying the electrical energy. Of course, the entire wire can as a bulk object move, but that isn't the point.
Only a select few of the electrons are doing the flowing. But remember, we still say that current is in the direction that hypothetical positive charges would need to flow to make the same field effects, so the conventional direction of current is opposite the actual flow of electrons.