Hello Chris,
I added Fiat 850 sway bars to my old 600 (long time ago now!). It was not that hard, but I cannot remember exactly what I did. I made some stand-off brackets from scrap pieces of heavy steel (probably 1/8 inch) and welded them to the 600 chassis. You need to make sure that they are not welded onto a weak location, or if you do, you will need to re-inforce the chassis.
I think I took the sway bar attachment fittings off the 850 front leaf spring and put them onto the 600 spring. Either that, or I ground a bit of metal off the 850 leaf and put that into the 600 spring assembly. The 850 spring is a little wider. Maybe you can remove the 850 piece and get it riveted back onto the 600 spring by a spring shop?
On the rear, I think you need to cut off the 850 attachment pieces and weld them onto the 600 traling arms.
The 850 swaybars worked very well for me. Scuderia Topolino has some information on their website about swaybars for 600s. With 850 swaybars, you could also put the rear bar onto the front and get a new heavy duty one for the rear if you wanted to stiffen up the handling characteristics.
I have a set of Abarth replica swaybars that I am going to use on my Abarth replica, mostly because of the "originality." 850 swaybars are supposed to work better....
Gil