What is the difference between them?
1) He likely would have loved the woman if she’d been ordinary.
2) He would have likely loved the woman if she’d been ordinary.

Question

Answer

I think they mean the same thing but the second one sounds slightly weird to me, not very idiomatic.  I think using "likely" as a synonym of "probably" is quite a new (or perhaps American) thing.  If you replaced "likely" with "probably" in both cases it would  sound more natural to me.