Would your LIs from each game get along with each other?

Would Morrigan, Isabela and Cassandra get along with each other? Lol somehow i see them killing each other.

Well considering Leliana and Cullen work as advisors for the same organisation in the Inquistion I'd say yes they get along fine as usually my HOF in a lot of my DAO playthrough's end up with Leliana and a lot of my Quizzy's end up with Cullen so they kind of I think have ended up being my canon Love Interests. I don't really have what you might call a standout LI for DA2 though so it's hard to say there

It depends on whether we're talking "canon" romances, or our favorite romances for each game (I have a tendency to play as essentially the same guy for my games )

For my "canon" run of the franchise: Morrigan, Isabella, and Cassandra. Those're three VERY different personalities, although by the time they'd have the opportunity to meet (probably in between Inquisition proper and Trespasser) the first two are mellowed out somewhat from their more harsh/objectionable personality traits (Morrigan's ruthless ambition and Isabella's selfishness). Cass is most definitely fangirling out on the both of them, Morrigan would be more amused/bemused than anything about the other two's antics, and Isabella would probably be rather miffed that she can't tempt either into a threesome (if she can convince herself that Hawke would be okay with it)

As for favorites thats... Leliana, Merrill, and Cassandra. Well Lel and Cass are super best friends already, while Merrill might feel a LITTLE out of place. Then again, it's three versions of a Dalish/Andrastian relationship, so I feel like they'd have a lot to bond over... maybe go bar hopping or bandit spelunking. Most likely go on a crazy wild "adventure" with or without their beaus.

Do I detect a pattern?

"Friend" of Red Jenny my ass.