Good looking bow and good luck with the repair.
This is JUST a thought. While putting a slide on bow quiver like the selway with its rubber sleeves will not help hold the bow together, it may help prevent the bow from "exploding" and help prevent you from getting injured should the bow "pop" and come apart.
Additionally, smooth on is very good stuff and bonds very well. I was gluing a riser together once (just a riser, not a bow) and before I put my clamps on it I saw a spot that had a little smooth on it...and I wiped all the smooth on off that area clean with a rag before putting a small block on the riser where I place my clamp (to prevent the clamp from leaving an imprint in my riser when I glue it up). Well...despite me wiping all the smooth on off that area...that little block was glued to the riser. I tried tapping it off with a hammer by hitting it on the side to knock it loose, but that little bugger stayed put. I didn't want to hit it any harder, so I ended up grinding it off. My point is, I suspect that area will be ok unless the old glue that was in that area prevents the smooth on from grabbing hold. I actually would be more concerned about the other areas of the riser that don't have smooth on in them.