Well according to the PDF for the Game Switch, it is not compatible with an Apple LCD display, and it's probably because they are non-HDCP compliant.
System Requirement
1. DVI LCD monitor with built-in speaker or audio output
2. Computer with DVI display output.
3. PC with DVI graphic card installed.
4. Computer is not required for connection with PS3.
5. In case of connection to PS3 alone without PC, a DC 5V 2000mA power
adaptor is needed. This is due to PC USB power supply is unavailable.
6. For best viewing display, it is recommended to use DVI LCD widescreen.
7. Apple LCD monitor not supported.
8. Game Switch is not recommended to cascade with other products such
as- TV-box, switch and splitter. Please connect device according to user
manual.
So that leaves the Gefen HD Mate the ONLY 3PP product out there that will support PS3 and Blu-ray playback on an Apple Cinema Display through component video out to circumvent the HDCP compliance issue and scale to a max resolution of 1080i since HDCP prohibits 1080p native on non-compliant devices. So now I have another dilemma, spend the money for an expensive piece of hardware just to connect my PS3 to my Apple display for gaming and Blu-Ray movies, or just bite the bullet and get a full 1080p HDTV with HDMI inputs and watch them in their full 1080p native resolution? This was only supposed to be a temporary resolution for the latter and I can't fathom spending hundreds of dollars for a device that I won't be using for long in the foreseeable future. That's over $300 I could put towards a bigger screen HDTV.
Found some more detailed info regarding the issue specifically:
Why cant I use my 23″ Apple Cinema Display?
Its a good display, with 1920 x 1200 pixels of resolution, 0.258mm pixel pitch, and a 178 degree viewing angle (vertical and horizontal). It has a typical response time of 14ms; Im told that even LCD TVs with an 8ms response time can show motion blur and cause the picture not to be in sync with the audio. That seems like a staggering claim as DVD playback on my Cinema Display seems flawless. A number of folk have tried to use it as a high def display, usually paired to a Playstation 3. This turns out to be far from simple:
"There is no way to connect a PS3 to an Apple Cinema Display with a digital connection (HDMI or DVI) because the PS3 only works with HDCP compliant monitors (which the Apple display is not). You can only connect the PS3 to the Apple Cinema Display using component cable connected to the HDMate [$US350]. This way, you will get 1080i deinterlaced to 1080p and formatted to fit on the Apple Cinema Display. "
Just for clarification this is said to be an issue for any external HDTV source:
"The Cinema Display has no scaler inside of it and is relying on the video card to give it the exact video resolution and timings it needs. That is why you can not connect the PS3 directly to it, or any HDTV video source. "
I say external because you can use it to view HD content from a Blue-ray disk drive upgrade, Internet downloads, TV tuner card, or HDV camcorder