Not really, as far as i can tell. Being at war will affect your ability to get your enemies to defect to your superior empire (they won't - you must be at peace).
End of quote
Clarification here. They will defect to you given enough influence. Evil does give you worse relations with everyone good and push everyone to the cool or hostile side relations. Having many cool/hostile relations will dampen your influence.
The opposite is true of being good. You will have an improved relation with everyone good and have warm or friendly relations. This increases your influence.
So yes, being evil does indirectly lower your influence. Being good does indirectly increase your influence.
Edit: Typing too quickly
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