I would've never rated Any Way You Want It over Don't Stop Believin' in terms of popularity and influence.
Few would. But that being said, Any Way You Want It is still pretty iconic.
The first time I heard Any Way You Want It was that it was played at the end of a The Simpsons episode (It was during the earlier seasons. Somewhere before the 10th season, for sure, I think). It was probably another one of those songs where I heard it, liked the sound of it, didn't know who played it and forgot about it. Thankfully, the magic of Google and lyric sites helped me know the band and song name, so yeah.
Anywho, regarding Moving Pictures. A great album indeed, though I'm not that keen on The Camera Eye, Witch Hunt is just all right, and I do like Vital Signs a great amount, moreso than the general consensus here. That said, the 1st four songs of the album are the essentials and are the songs that helped shaped Rush's legacy.