I don't see how Leliana, the Hand of the Divine will have an issue with Vivienne, mage loyal to the Circle.
That's just me.
Because from what I've read, Leliana takes more of an issue with mages thanks to torture by the Venatori.
Even without it, though, Vivienne is a real ******, like Morrigan.
I don't recall Leliana getting along well with Sten aside from teasing him about playing with kittens and flowers. IB does not seem like the kittens and flowers type. Aside from that, Leliana didn't care for his philosophy.
As far as some others:
Cullen will probably get along with Vivienne
Dorian will not get along with Vivienne as she is very extravagant, like the Magisters (even without blood magic)
if my thoughts on Scribbles being a Lucrosian is correct, she'll get along well with Solas.
Cole will probably not get along with Cassandra (who would think him a mass murderer), Cullen (ditto), Varric (ditto, plus opinion of spirits colored by interaction with Justice/Vengeance). He will, however, get along with Solas