Pompey wasn't always Consul and would not have openly presided as he is shown doing. Except for one brief period, he always had a colleague. But he and Caesar never shared a period as Consul.
Pompey is shows as reforming the courts,. This was done by Sulla.
Sulla did not treat the Senate with contempt. Though the army was the basis of his power, he got himself appointed Dictator, which made it legal.
Plato did reject democracy, as Brutus says. But he wanted power to rest with a group of philosopher-kings, not a single individual. And he was critical of tyrants.