"Hey Kirby,
Here be our list - we can't share transports or use each others special rules. Apart from that, things are fair game. One storm trooper squad will be in the immolater.
Imperial Guard
Primaris Psyker
Vet Squad- 3x Melta, Demolitions
Vet Squad- 3x Melta, Demolitions
Vendetta
- Heavy Bolters
Vendetta
- Heavy Bolters
Psyker Battle Squad (6 psykers)- Chimera, ML, HF
Sisters of Battle (ok, so there aren't really any sisters)
Inquisitor Lord
- Psychic Hood- Gun Servitor/Heavy Bolter- Gun Servitor/Heavy Bolter- Gun Servitor/Heavy Bolter
Callidus Assassin
Storm Troopers x5
- 2x Meltas
Storm Troopers x5
- 2x Meltas
Immolator- Extra Armour- Smoke Launchers
Exorcist- Smoke Launchers
Exorcist- Smoke Launchers"
Again, the PBS are cute but as a single squad and used for 'gimmicks' aren't worth it. What I'd love to see with a doubles IG/SoB list would be Immo spam from the SoB and a bunch of Hydras + Vendetass w/las + Autocannons from the IG but not sure if you guys would have the models.
As it stands, you're kind of building your list around the PBS and building away from codex strengths. You have minimal midfield control with only IG + Storm Troopers rather that Sisters/Celestians and your long-ranged firepower is coming from HB Vendettas and Exorcists rather than a bunch of IG ranged firepower. Otherwise the IG list is alright for 750 (I'd drop the PBS though, make the Vendettas have Lascannons and add some Hydras or Sents). The SoB list should attempt to get some sisters in Troops for improved scoring and midfield presence and skimp on the Lord + Assasin.