It never would've become like ours. The mindset of Antiquity was very "localist." Note that Roman citizens under the Empire were deemed "Citizens of the CITY of Rome." The mindset of Antiquity didn't generalize to broad territories well. That's a primary reason that Plato cited 10,000 as the optimum number of citizens for a polity. A focus on the local and SMALL.TallDave wrote:Like most older societies, the Greeks were more or less constantly at war. Likely the first thing they would do is build better weapons and conquer their neighbors. Their democracy would probably not become as liberal as ours until living standards had vastly improved.
Mass scale democracy just doesn't fit into that mindset. Democracy such as there was was all direct democracy. A slightly larger scale version of the New England town meeting.