That all should work; emphasis on should. DVI is the highest video quality you can get next to an HDTV. I would probably say go with MadCatz component cables as they're a trusted brand for video cables. I don't know about either of those a adapters, but I'd say search a little harder for a component-to-dvi-adapter that has a female connection if it is true that the Apple Cinema Display's connector is male, that way you are doing the least amount of video converting possible. The only thing you'll be lacking is audio, unless there is either an adapter with the red and white connectors or if you have some speakers with those inputs.
Hope that helps.
Those displays are damn nice looking; just wondering, what size do you have?