You do not need a Displayport cable to see 3d@ 120hz on a 3d capable monitor, But you must wear the 3d glasses.
You can use DVI or HDMI cables if your graphics’ card has those out puts on your 120HZ monitor, but it will only be a max.60HZ refresh rate with those cables/ outputs all the time UNLESS you are wearing 3d capable glasses wether they are active or passive glasses.. If you want a refresh rate continuously at 120hz instead of 60hz without wearing any type of 3d glasses, only a display port capable video card (the card can still have DVI and HDMI options on it) and a display port available port monitor rated for 120hz will give you 120hz refresh rate all the time without wearing 3d glasses. I know it may seem a little confusing which is why ( the devil is in the details of the specs for any of these so called 3d capable monitors touting 120hz capability) I searched all the tech sites I could find in my spare time and did many Google searches to get it straight before I made my purchase of a monitor.
Yes, the glasses split the image more or less from what I recall and is the foundation for all the 3d glasses, but many report headaches’ and un comfortable glasses, some like passive over active some complain some glasses have wider lenses than others and most complain about very dark images with the glasses on. and the shiny glass of the better monitors to be a problem. Incidentally, what I did to solve the shiny glass issue was: I have a regular light in the room that has dual light sockets in it, in one socket is a regular 60 watt bulb and in the other a black light bulb (or purple light) I simply turn off the 60 watt white bulb and turn on the black light for gaming and a small lamp within reach of my fingers next to my gaming desktop that has a small bulb that is dimmer switch controlled just in case I need to look at a flight or game manual (which seems to be often because its been a long time since gaming LOL!) and of coarse if it is day time shades all the way down, at night its not an issue unless you have to many lights on in the room were the monitor is located. Some preffer a satin finish monitor I think the glosser the better.
As far as a know, pretty much all AMD cards in the past 3 years have at least one type of Displayport on them, but not all Nvidia, I don’t think the 580 GTX anything does in any model, but the 590 GTX does.
This is a pretty good link and yes, you will have to do some reading, but the explanations do not come any more detailed and simplified.
TweakGuides.com if it does not take you to the home page go there and click on:
A Guide to HDTVs and scroll down or click on the 3d link within that part of the guide. also must reading from that site click on :
The Gamer's Graphics & Display Settings Guide
Its easy to get sidetract at this guys site because there is so many interesting topics but he has very detailed explanations and so do other tech sites you can google. I hope this helps. In the end my advise is, if the monitor does not have a display port connection (as well as your video card) and the monitor is not rated specifically for 120hz don't purchase those items unless you do not mind wearing glasses for 3d and are O.K. with 60hz max. consintly without glasses. Doing anything in 2d especially gaming while @120hz is really noticably better than at 60hz. in 2d. Good luck.