Speaker for speaker, the horn tweeter on the Klipsch speakers I have posted represents the forward and detailed sound of the SR325is. The Martin Logan Electromotion ESLs as well as the warm, fireplace heated interior in the picture represent the HD650's ability to warmly recreate the ambience and soundstage of the original recording, contrary to the background of the Klipsch speakers. Also, the Martin Logan speakers in the second picture are very "sweet spot" specific speakers; if you're not in the sweet spot, they don't sound as good. This mirrors the HD650s in that they put you into that perfect seat each and every time, whereas while the Grados may not recreate the mood of a recording as well and definitely don't put you into the "sweet spot" (or best seat in the house), they certainly get straight to the point much faster.
My point with the HD595 pic was that to me they have a certain grainy, unrefined texture to them. I haven't gone back to them from my HD650s but I'm inclined to agree. I can see why people love the HD650s and I'm not someone who wants a headphone to reach out and punch me in the ear but they just lack too much involvement for me. Worth buying for the experience, but they will likely end up for sale in the next few weeks.
Personally, I don't 'feel the music the same' at all. It's only when I go to the >80% of comfortable volume that the music really comes alive most of the time. I don't sustain this volume for long but for the time I spend there, it's awesome.