Is my translation of "I think Disney has a big influence on people's expectations of love" accurate?
Yes, 人 would be sufficient to indicate "people in general" in this sentence. 老百姓, though not necessarily derogatory, gives the reader an impression that you're implying there exists some other non-general population group that are not affected/affected differently by Disney.  

Next, 期待 and and 期望 are both fine for 愛情, but I would say the former is better, because all results from google gives 對愛情的期待 even when I searched 對愛情的期望. 要求 sounds too aggressive in my opinion, and we generally do not use 希望 for non-humans.

Generally we say "Noun 對 Noun 的期待/期望/要求", so the object should be 人對愛情的期待. However, this causes two 對's to appear, which sounds odd. So my advice would be to replace 人 with 人們, and replace the second 對 with 對於 to ease the effect of multiple 對's.  

Finally the 的 before 影響 is optional, and since we already have a 的 in the object, we should omit the second.  

The final sentence would be 我觉得迪士尼对人们对于爱情的期望影响很大