There are a lot of special achievements in "Freeze Age 2", and Chaos Signal is one of them. To achieve this achievement, you only need to hold a rally and protest in the city at the same time, which may be achieved in Chapter 2 It happens after Chapter 3 or in subsequent stories, and you can unlock it directly at that time.
How to get Chaos Signal achievement in Ice Age 2
Confusing signals
Simultaneous rallies and protests in cities
Location: Story [possibly during or after Chapter 3] or Utopia Builders
Favoring one faction while ignoring another. Overwatch/Bohemian is a good combination.
This may happen after Chapter 3 or later in the story.
By choosing one faction's approach to dealing with Frost, you will anger the other faction, who will occasionally hold rallies and protests if the opposing faction can be equally outraged and satisfied.
Holding a rally and protest simultaneously will unlock this achievement, and will likely happen on its own.
Mixed Signals
Have rallies and protests in the City at the same time
Location: Story [Likely during or after Chapter 3] or Utopia Builder
This will likely happen during Story after during or after Chapter 3.
By choosing one faction approach towards dealing with Frost you will anger the other one, if manage to equal anger and also satisfy opposing faction they will hold rallies and protest occasionally.
Having both rally and protest at the same time will unlock the achievement and will likely happen by itself.