Questionable decisions!

The torque converter is neutral balance with that small weight. Then the large weight is added for the external balanced engine.

What I have done in the past was carefully cut the large external balance weight off with a cut of wheel. Cut down into those 2 spot welds being careful not to cut into the converter housing, The area will get weak and you will be able to pry the weight back and forth until it comes off. Once you have the weight removed smooth the weld area with a flap wheel . You now have a neutral balance converter.
There's only one weight on this converter, the other flap looking thing is a sticker that says "LS LOCK UP" which I also have no idea what that means! HA!

I figured I needed to get this off, thanks for the direction in this area! Seems I was on path!
Once you get that weight off using the procedure Steve mentioned above, lay the flex plate from the 5.2 up against the converter to match the holes up. You will see that you have to oval one hole out to fit. If you aren't using the fuel injection that came on the 5.2, you may be able to use the flex plate from an LA motor, that matches that converter. If it were a 5.9 Magnum, you'd be stuck using the 5.9 Magnum flex plate because they are external balanced and the weight is on the flex plate vs being on the converter like yours is.

This is correct and I have my flexplate off a 5.2 FI engine that I've marked to oval a hole on. I will also need to cut the trans a bit for the sensor to read it's triggers =)

Thanks all for the guidance! Much appreciated! Happy Hollidays!