Monitors don't have "drivers" in the strict sense of the word - its an INF file that contains information about refresh/resolution/etc and it isn't required to use a monitor. With a VGA splitter both monitors will get the same signal (cheap/bad splitters may degrade quality) - they'd have to operate at some common mode if you wanted everything on at once (if you exceed the ability of either monitor it will probably just pop up an error telling you the input is out of range - some really old CRTs may try and run inappropriate settings and the resulting image is usually very blurry). Alternately a VGA selector might be a better choice, again cheap ones may degrade quality, and then you could simply select up to whatever maximum resolution the selector can handle for a given monitor.
The Personal Cinema FX cards actually do have two monitor outputs, but if you don't have the break-out cable you won't have the VGA output. Here's a picture of the complete package:
http://mlm-s1-p.mlstatic.com/tarjeta-de-video … 34_112012-F.jpg
(it's a Chaintech branded card but they're all pretty similar) - the DVI-I port is available directly, but there's a VGA output carried on the proprietary breakout plug (next to the DVI-I port).
The FX 5200 will support clone output as if it were split (but no risk of quality loss as it's cloning the signal into each RAMDAC) - again you'll have to select a common resolution for them to be on at once. Alternately you can enable/disable whichever output you want based on the resolution/timing/etc you need. For example I'm guessing the TFT probably doesn't do 75-85 Hz (not many do), while you will probably want the CRT to do that to mitigate flicker. Running in "Extended" or "DualView" mode would allow each one to be configured independently, HOWEVER most games will default to whatever is set as the primary monitor, and Windows will treat the pair as a single larger desktop (so if you have 1024x768 on each, you will have an effective desktop of 2048x768), so you probably don't want to enable Extended/DualView mode for your specific application here.
If you don't have the break-out box, I would look for one, unless you don't need the Personal Cinema aspect of the card, in which case I'd just get a normal FX 5200 or some other card that doesn't rely on the proprietary breakout.
Quick ebay searches and voila:
Breakout box:
http://www.ebay.com/itm/220487771043
Another TV tuner enabled videocard (with all of its cables (I picked the first one I found that included its cables)):
http://www.ebay.com/itm/191288543840
A normal GeForce FX (I looked for something that's a bit faster):
http://www.ebay.com/itm/111430080259