Gluing 1/4 pieces will be very strong, and you will have a cross grain connection. Do them 4-6 at a time and cut them apart with a table saw. You will need a couple of boards clamped to the end of 3-6 pieces to keep ends aligned. Wax these so the glue doesn't stick to the alignment boards. Clamp the pieces together without glue. If they are going to be exactly 2 inches across, you'll either have to put blade width spacers in place to separate the 12 inch boards, or use something like 2 1/8th strips that you cut down later.
I don't see any really efficient way to do this. It will take some hand work no matter what.
The more I do, the less I accomplish.