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Gulp products, other than the juice itself, will dry up big time and are shot for use at that point. Once shriveled and dry they will not come back to life by putting them back in the juice. They are shot. You will not meet with good results if you put gulp products in a standard tackle box comparment UNLESS that box or comparment is sealed to keep fluids from leaking and/or the baits from drying out. Some of the old PowerBait products could be ressurected by soaking again, but not the Gulp.
You can put a different bait, like some of your plastics, into the Gulp jar with Gulp baits and juice, however you'll probably see the plastics go opaque, but still usable and the plastics won't hurt the Gulp baits a bit. Remeber though that the plastic probably will not absorb enough of the juice to make much difference in the performance of the plastic.
Something I have found that works wonders when using the Gulp spray is to thread a small cotton pom-pom on the line with a needle, then tie on the jig. White works fine. Spray your juice on that little ball of cotton and go fishing. The Gulp will stay on that cotton ball for some time and if you need to refresh it, just pinch the cotton ball to get the water out and re-spray it. I found the little pom-poms at a hobby lobby. Try this if you want to see a minnow bite go absolutely bonkers.