Long Story Short:
Missionary Centers are broken.
Durantium Refineries are broken.
Antimatter Power Plants are broken. 

I'm playing on a Huge galaxy and I'm 100 turns in. I am 51% of the way to an Influence victory. My Capital has 3376 Influence and is currently growing by 38.3. The Missionary Center gives +1 Influence Growth per level and mine is at 11. I'm literally just hitting next turn and setting all the culture flipped planets to Cultural Festival. 

By buying a Manufacturing Capital and then building a  few Durantium Refineries, I quickly got my manufacturing to several hundred, then built a Tech Capital and set my Capital to Research Project. At 100 turns in, I have 710 Manufacturing being converted into 810 Research.  I'm not even trying that hard and I'm 32% to a Tech Victory.

Antimatter Power Plants are insanely powerful. ALso, I'll say this again. Antimatter Containment doesn't do anything. I'm not there yet, but this probably breaks Quantum Power Plants.

It won't be long until I win in record time.

Update: Game crashed a few times when Drengin were taking back their planets by force, but I won on Turn 153.