Hi birdseed,
Do you mean that because you can't screw the PB's case together it makes the screen distort like crazy? If so, a "nuts and bolts" place would be able to sell/give you a slightly bigger screw that would allow you to use it in place of the old one. There is a place in Melbourne called "Cost Less Nuts & Bolts" I've used with great success for stripped screws etc. on computers and radio control cars - I'm pretty sure they're interstate too.
Any chance of posting a pic of the connector in question? It'd obviously be hard to source the exact connector without perhaps picking up a junked 1Ghz motherboard. Same goes for resoldering the connector - you'd need someone with experience in SMD resoldering to replace it. However, you might also find other motherboards use the same connector, eg. perhaps on an iBook which is easier to obtain. Have you also tried "thickening" the display ribbon connector with perhaps a piece of stickytape to make for a more secure connection?
As you gather I enjoy the challenge of fixing dodgy hardware, usually with success (but takes a long time to get right ...

).
Good luck,
JB