Aligning layers can be hugely improved with a registration pin or slot setup. I did registration pins with a dowel from home depot here:
I aligned with slots, too, but I am not ready to show that piece yet. Here’s a small file that shows how it works:
Feel free to go experiment with it. It’s designed for BB, at .120 thickness. You may need to scale for your purposes.
Pics of it in action:
One thing to note : This is punishingly snug fit. I had to assemble with a hammer. I tried to take one of these assemblies apart, it ended with broken plywood. So, be sure you’re putting the right pieces together before you pin them, if it’s really snug, it’s a one-way street.
I also recommend making your pegs or slot pieces a bit too long, so you can sand them flush. It looks much more polished and less “lasery”. The spiral thingy was sanded flush, the rectangular pegs were not. World of difference.