OP your question isn't making much sense to me.
1080p is a monitor resolution, AKA 1920x1080. It has nothing to do with refresh rates, except that higher res is more demanding on the GPU than lower res.
DVI and HDMI carry the same HD video signal, but HDMI can also carry sound. However there are different formats of HDMI of which I don't know the specifics.
I would take 120hz over 60hz any day.
I'm sorry i was just wondering if playing in 1080p would be better picture quality than DVI, i play at 1920x1080 with dvi