Martinus
Emperor
As starting point, they are going to reuse some of the existing policies in the three trees as tenets in the ideologies. Total War already is one.
Order
Opener: increase Happiness by 1 per City.
Finisher: +2 Food, Production, Science, Gold, and Culture per city.
United Front: Militaristic city states grant units twice as often when you are at war with a common foe.
Nationalism: 15% attack bonus when fighting in friendly territory.
Planned Economy: Factories increase a cities Science output by 25%. Build Factories in half the usual time.
Socialism: Gold maintenance costs of Buildings reduced by 15%.
Communism: +2 Production per City and +1 Production for every Mine or Quarry.
The opener is replaced with Young Pioneers, but the other effects might still be in, although with different names.
Autocracy
Opener: reduces Unit Gold Maintenance costs by 33%, allowing an empire to field a larger military. Receive 10 Culture as plunder for each point of Culture produced in the captured city.
Finisher: 25% attack bonus to all Military Units for 50 turns.
Militarism: Gold cost of purchasing units reduced by 33%.
Police State: +3 Local City Happiness from every Courthouse. Build Courthouses in half the usual time. The effectiveness of enemy spies is reduced by 25%. Your counterspies have a 25% increased chance of catching enemy spies.
Populism: Wounded military units deal +25% damage than normal.
Fascism: Quantity of Strategic Resources produced by the empire increased by 100%. All Great Generals receive +2 Movement.
Total War: +25% Production when building Military Units and new Military Units start with +15 Experience.
Total War is in, the effects of Police State seem to have gone to Order.
Freedom
Opener: the rate at which Great People are born is increased by 25%.
Finisher: increase the base yield from Great Tile Improvements by 100% and length of Golden Ages increased by 50%.
Civil Society: Specialists consume only half the normal amount of Food.
Constitution: +2 Culture from each World Wonder.
Universal Suffrage: Combat Strength of Cities increased by 33%.
Democracy: Specialist Population in Cities produce half the normal amount of Unhappiness.
Free Speech: 8 units are maintenance free.
Free Speech replaced with Volunteer army. The effect from Constitution is now a Resolution.
This is completely wrong. The ideologies are supposed to give bonuses to three different victory conditions each. Your ideas really give bonuses to one victory condition each.