I'll take a stab at this question but it is a hard one to answer...
If you buy a kit or even all of the components from a vendor, you will not need more than a rasp and a card scraper at a minimum. If you plan to make your own lams then the power tools that could all be used are: oscillating spindle sander, horizontal belt sander, band saw, planer, thickness sander, jointer, table saw and more. If you took a good look at Roy's or Kenny M's shop you can see what I am talking about. I think most guys will say a decent 14" band saw is the first power tool to get followed closely by a belt sander. Lots of clamps are not needed as there are other less expensive alternatives.