What you talkin' about Willis?
I would think glue and a couple of short nails...say 1 inch long would work just fine. The nails are only there to hold the pieces together until the glue dries (mini clamps). A nail gun would be the tool because it shoots the nail into the wood instead of pounding with a hammer. That is unless you want to drill pilot holes first. But you still have to do some hammerin' to get the nail flush and set it with a nail set, which takes more hammerin'.
Have you considered gluing these in a batch. Lay them out on your work bench, glue where needed and clamp several together, Forty five minutes later, remove them from the clamps. You might have to cobble up some sort of jig to keep them all lined up properly when the clamp is applied.
Note: I have glued up multiple boards using one set of clamps. Two boards get glue together, then another pair gets glued together...and clamps applied to force everything together. The end result is two glued up pieces instead of doing just one.
I guess I am thinking about something you would do that resembles a sish-ka-bob...with clamps.
EDIT: Here is a picture of what I was thinking. Nails would be optional. Put a clamp along the length and pull them together.