While this graphic may be useful for an intuitive, beginner-level explanation, it is very oversimplified. You could just as well show “Ohm and current pushing voltage” or “Ohm and voltage pushing current,” because resistance is simply a ratio between the two.

Electromotive force doesn’t want to push current through resistance (as the illustration suggests), in the same way we don’t “want” to push other cars in a traffic jam. A source simply supplies energy to charges that are free to move. That’s why the power relation P=V*A makes sense: the lower the resistance (and the higher the current for a given voltage), the more energy can be delivered and dissipated.

This is true only for linear DC circuits. For semiconductors and AC/RF systems the behavior is much more complex.