Answer: Napoleon rise to power can be explained quite easily ....French revolution constituted an unprecedented mobilization of masses in all France. It led to the fall of monarchy and dynasty. It was an epoch-making event and people were aware of that. Napoleon was one them. He was not member of Bourbon dynasty with a "divine right" of kings. That was something unprecedented and his career of the consul, first consul and emperor took place just because of the support of masses (popularity). This is something we can see also in today´s politics. Masses usually require what we call "charisma". Napoleon was able to "charm" masses. Moreover, many people viewed his rise to power as an activity of Providence acting from the backstage.
Explanation: the same popularity enjoyed Louis Napoleon (later Napoleon III) when elected (first presidential elections in France) a president (president of so-called II Republic) in 1848 (December). Similarly to his uncle, Louis Napoleon abused the power given to him in general elections, initiated coup d´Etat (December 1851) and proclaimed The Second Empire (1851-1870). Also in this case who was responsible for his rise to power were common people fascinated by his "charisma".
People did not support Napoleon. He came to power in a military coup d'etat. France was already under military occupation and they were beginning to trust the army more than the government.