Dredd has evolved over the years however the stance on Democracy has not changed much.
Since 2117 reforms brought in by Chief Judge Volt mean that the Chief Judge is elected by the 400 Senior Judges so as to strengthen the office.
Democracy in Mega City One is seen as being undesirable by the Judges, largely because the populace are disinterested in the process. The 2113 referendum on Democracy, the culmination of the Democracy Storyline that ran on and off between 1986 and 1991, saw only a small minority of citizens vote at all, and those that did voted for the status quo.
There is an elected Mayor and Council, but generally these are token, although Mayor Ambrose was seen as a force for positive change.