ORIGINAL: ChuckW
A good polyurethane top coat should fuel proof everything just fine, regardless of what stain you use. Minwax makes some good spray on and wipe on polyurethane products. I personally prefer the wipe on for furniture projects. I'm not sure how the ply will take a stain either, you may want to test an inside area first. If it absorbs the stain unevenly, use a pre-stain treatment. Also, I prefer oil based stains over water based; they are easier to work with and give better results in my opinion.
RESPONSE: I want a wipe-on product. Where can I find Minwax polyurethane wipe-on stain? And the pre-stain?
It looks like you are using white glue. It will probably be just fine but Titebond wood glue may be a better choice. Titebond-2 might even be a good idea since it is water resistant. This is just my opinion of course.
RESPONSE: As stated earlier I am using Elmer's white glue as suggested by RCKEN. I use Titebond II alot, but in this instance I don't want the yellow showing through at the seams. And white glue dries clear.