I’ve read bits of Greek history that say Alcibiades was a hell of a soldier, along with that business about the Spartan king’s wife-some say he fathered a kid on her-he also had a wife, and may have kept an official mistress, too-but that wasn’t exactly unusual for powerful and well-off men in Greece at that time...
But politics is such that real world ability and skill are not actual prerequisites for the job, in fact having them is a liability. Other politicians will get jealous and have you exiled. Heck, look at what they're doing to Trump now for an example of how it never changes.