You could definitely use the laser to mark lines out, and follow them with the scroll saw. I think you would probably lose a lot of the laser's precision, but could cut thicker material. I doubt it would improve the gear mesh at all, though - that issue was entirely two-dimensional. I think the teeth were drawn that way because an end mill can't cut the inside corners of involute gears without some modification.
Finding appropriate plywood for the laser is always a challenge. Partly because hardware stores rarely carry thin enough material, and partly because they lie about the dimensions. The only place locally with thin plywood is Midwest Woodworkers, who carry 5'x5' sheets of what they call 1/8" birch, but which is actually 3mm (this is what we have a stack of at the Makery). Shopping online, look at boat-building suppliers and hobby shops, and once again be prepared for approximate dimensions and possibly also sticker shock.
Our spacers on the arms are turned delrin (or HDPE or something similar) bushings with shims. I'd suggest 3D printing a stepped bushing instead. On the base, we used a thin layer of styrene between the rotating plates. A more advanced system would be neat, but I'm not sure it would actually help things. The weight of the arms and the friction in the mechanism didn't bother the servos in the slightest. The problem is that servos are not designed to continuously hold loads at high torque like stepper motors can. Ours burned up when someone directed the manipulator end of the arm to press on the table top and walked away. I imagine a similar issue could arise if you tried to hold a significant weight in the gripper.
Using physically larger servos would probably help resolve this issue, as they would have more thermal mass. But, they would also be heavier. Higher-torque servos might even exacerbate the issue by permitting higher power draw. In any case,
these are the servos we used, at 70 oz-in of torque. Despite the Hobbyking origin, Corona servos are fairly reputable, so I don't think the issue is servo quality. Physically-larger servos with a much lower speed (hopefully signifying a higher gear ratio) would be the best bet. Analog rather than digital might also help, as digital servos tend to draw more power. So, basically, yes. The servos you've selected look like they might be a
slightly, but maybe not significantly, better choice than the ones we used.