I thought I take photos of the other wall wart after I broke it open and the transformer out. I just used a flat head screw driver and a mallet to break the glue. The original transformer is rather tall and is 3lbs 4oz and the one from the wall wart is much shorter @ 2lbs 6oz. Comparing the windings, the wall wart the copper is higher gauge wirer (larger). This is good as the transformer should hold up well to the coils charging/discharging.
Now to come up with some brackets for better mounting to the B-33's base. Hanger strap material is a bit to pliable, so something a bit stiffer but still where I could bend/form it around the transformer's metal core and have it rise up to have two feet attached. Perhaps I could walk around Lowes and find something.
The B-33 I have had for a while now was worked on, this can easily be seen when looking at the bottom of the engine (last phot). There is a mess of different color wires and shrink tube. It's like the previous owner used anything he had lying around! Then when I looked a bit closer inside the tank the other day, I could tell the transformer had been undone a bit. I'll be replacing all that mess of random wire/shrink tube for the 24v lines with new black single copper core 22 AWG wire when I tackle the its transformer.