Here, I'll put together numbers using gear I actually have vs the fake Qilin target (high def, favors crit damage more):

Code:
Shijin:                  Smite:                     
Thew Bomblet             Thew Bomblet               
Aias Bonnet              Shura Aug (4 dex, 2% WSDmg)
Gorget                   Gorget                     
Brutal                   Brutal                     
Aesir                    Aesir                      
Tantra +2                Tantra +2                  
Ochiudo                  Heafoc                     
Rajas                    Rajas                      
Epona                    Epona                      
Atheling                 Atheling                   
Warwolf                  Anguinus                   
Byakko                   Usukane                    
Tantra +2                Tantra +2
Impetus up:
Shijin: 1661
Smite: 2078

Impetus down:
Shijin: 1595
Smite: 1680


Smite has a 25% lead with Impetus, a 5% lead without. You want stuff like Toci's Harness, Ocelomeh +1 head, Denali +5 feet, etc, to really push Shijin up past Smite. Spharai also help, with the higher base damage and heavy +att (I'm using Vere 90 for both of the above).