There are Mini-ITX motherboards that include LVDS driver circuitry. However, beware that it's not a trivial job to actually use that circuitry. Cabling for LCD panels is *not* standardized, as different size, resolution, and color depth (some LCDs are only 18 bit color, while others are 24 bit) panels use different numbers of data lines and manufacturers sometimes arrange them in different ways. You *may* be able to find an appropriate cable "off the shelf" by determining the manufacturer/model # of the LCD panel and cross-matching it against the model number of the Mini-ITX board you purchase, but if not, well... a quick search of the "Carputer" forums on mp3car.com suggests that custom cabling will probably run you around $70-$80. That's a good percentage of the price of a good-size desktop LCD monitor.
Also note the obvious, of course, that a Mini-ITX motherboard will not even come close to fitting into an iBook g4 case, so what you're talking about is turning your laptop into a horribly hacked and demented desktop. (The keyboard and trackpad won't be easily usable either as in the iBook G4 they're emulated as ADB devices, not USB like in the very last model PowerBook G4s.) It seems like working iBooks still sell in the $200+ ballpark so if the only thing wrong with it is it's "too slow" it seems to me you'd be much better off selling the unit and putting the money towards an inexpensive PC laptop. (Brand new ones that will still run rings around it for viewing video can be had for less than $400, while a used Core Duo unit in usable shape might be a straight-across trade.)