The orifice, the diaphragm and the lever are the same in both the 109 and 156 and if properly adjusted, the net forces acting on the seat will be the same. Consequently, if properly adjusted a 109 and a 156 will give identical performance when used on a balanced first stage.
To get picky on the issue, the Mk 1, Mk 5, Mk 6, Mk 7, Mk 8, Mk 9, Mk 10 and Mk 10+ are NOT perfectly balanced as they use a straight piston stem and unflared tip, so the area of the knife edge itself is not balanced. This results in a 4-6 psi change in IP (depending on piston head size) as tank pressure drops. But practically speaking you won't notice the difference in inhalation performance.
As noted above some levers are not compatible with the latest s-wing poppet or the latest duro poppet. But those levers were made in the late 1960's and can be identified by their slightly wider and non stepped tabs. If the levers are not compatible you will definitely feel it, so it is not something you can easily miss. The current G250V lever works fine.
Also as noted above you need:
1. An S-wing poppet (no longer included in annual service kits)
2. A G250/G250V Balance Chamber (they came in black, white and silver/grey colors, different lengths and in a couple different styles, but they all work fine)
3. A G250 spring
4. A rivet style seat (used in all of the SP balanced second stages as well as the new unbalanced C200 and C300)
I agree the Mk 7 is a boat anchor and a less than optimum choice. The air side of it is a Mk 5 and the other side contains the "honk" function. In most cases the honk function no longer works, parts are no longer to fix it and most techs can't work on it because they have never seen one. Yyou are far better off with a Mk 5 or a Mk 10 as both are still in common use and are superb first stages that are still "modern" in terms of layout and design.
Normally I'd offer one of each for the conversion, but my private stock has been pretty much depleted and I only have 1 spring left and I probably need to order more for the regs I stumble upon for my own use. (I keep my personal and/or vintage parts separate from the shop parts). I also don't compete directly with the shop but run the service work through them. If you want to have it converted send me a PM and I'll arrange to have it run through the shop and I'll have them order the parts needed for the conversion.
The other issue with 109s and 156s is that the rubber purge covers dry rot and the exhaust T's go bad and crack. The shop does have new rubber purge covers in stock and it also has used very good condition exhaust T's off some retired rental regs.
I also have some nice Mk 5's and a couple Mk 15's I'd sell if you want something different than the Mk 7.