So I've been mucking around with the genetic modifications. And I've found that if you breed one batch specifically to have the social mod, then just take one ideal candidate for alpha, and then synthesise a second batch with more generally useful mods that don't affect dominance, i.e. small appetite, immune system etc. Then you have a solid alpha and fights will barely happen, plus a group with useful mods.
I have a pack of 8 troodons with 0 fights, and a herd of chasmasaurus which have also had 0 fights over 2 hours. Plus since you discard all the other eggs in the alpha batch you can modify with humble stat too since the alpha applies it to the whole pack. You wont be able to modify to 100% for both but go 50 or 75 and usually you'll get one ideal roll and discard the rest of the batch.
Plus i enjoy making an alpha with a funky colour scheme that stands out from the group.
Edit, p.s. i havent kept an alpha with the aggressive trait yet. Might be interesting to see if that works too without making the dinosaur fight others in the group.