I also was told by an experienced trainer........
That one will be dominant..and one will be submissive. Your original dog may never show domiance and Mocha may take over the lead ..of those two. There is nothing wrong with that. Submission is good and it's OK for Mocha to be dominant. And you are Domiant over the both of them...this is the pecking order. I had these same problems with Lei and Corkie all of their lives. I was able to leave them alone..because this issue always arrived when I was in the picture.
Also, I was told...WHOMEVER of your two dogs shows the most domiance..then you need to acknowledge that.
For instance...when you come home you acknowledge the Alpha dog first. Give treats to the Alpha first..etc...Everything... it's the Alpha first...then the other animal. I was told I could of avoided a lot of the fights between my two gals if I would of done that. Lei is now gone..but Marley has entered the picture. So far he is the most Alpha so I'm trying hard to pet, treat, love, kiss..etc..him first. It's hard because Corkie is my oldest and my little love...and she's elderly. But.. I do want these two to bond....and I want harmony in the home.....so..gonna try had to follow this advice.
I'd kennel or keep them separate until you are comfortable there will not be problems when you are gone to work or whatever.
There is my two kibbles on the subject

Good luck girl