What I do find strange is that Alessandra said that despite her best efforts from the shadows, she's failed to get the animosity going, but there hasn't been any indication that she's been doing anything outside of escorting Olivia, and influencing (or fucking) Kane.
Like I said, I don't see cold calculating Veronica getting to "murderous rage" outside of a legitimate threat on Astrid. ... Of course Nadia shattering her illusion of absolute control seems to have really pissed her off, so maybe some greater upset against the Control Freak would put her over the edge, and yeah, only Dominique has the resources to pull that off.
I feel to say they "dislike each other" is an overstatement, more like they have "an uncomfortable working relationship" that looks to have been stronger once upon a time, as demonstrated in both the Restoration Project and the secret N.O.A.H. project, which is why Dominique was certain she had Veronica's support in the Gambit. However, Dominique's attitude when challenging Veronica's support decision, and her expression after Veronica gives her response, shows the Dominique feels both hurt and betrayed by Veronica, thus the relationship is damaged. However, Dominique, as she is constantly reminded, is not Alexander, so a single slight or betrayal is not enough to launch her on the warpath, but I do suspect a second betrayal, or discovering evidence of everything Veronica has been doing that will bar Dominique's chance of victory, can send her over the edge.
It's even possible that Alessandra's earlier attempt WAS leaking the evidence of Veronica's favoritism to Dominique, who instead took the measured path: convince Juliette, confront Veronica.
