Your TV is converting everything coming in to 1080P, anyway. No, the content is not 1080P, which would be nice, but you are watching the native resolution of your display and watching 1080P although a converted version performed by your TV electronics, and some TV's do this better than others.
Also, keep in mind that many AV Receivers today will up convert to 1080P to your display and some better than most TV's. Some AV receivers do this better than others, but even on my mid-range Onkyo, the difference was notable, as it is with my DVDO Edge. Visitors were saying it looked sharper than last visit (I never told them about the DVDO Edge up-converting to 1080P, they just commented on their own. I've a got a Yamaha yet to install with the killer HQV chip and will have to see if it is all it is said to be.
I can tell you that such AV Receivers and external processors can do a dandy job making SD or crappy internet streaming look pretty darn good compared to most TV's. This is especially noticeable if you have LESS than a flagship HDTV or less than other other high end models. My high-end Sony does an impressive job on its own, so the improvement was noticeable, but a bit more than slight, while my cheap, old, entry level Sharp NEVER did a good job of ANYTHING, but the difference with the DVDO there was QUITE noticeable, and night and day for SD, S-VHS and online content.
Just some ways to get some enjoyment of 1080P from content that is not 1080P source.