Really good show! Honestly, it touched on a lot of things my mother tells me about conspiracies and stuff. I don't buy most of them, but I think they are rather interesting, and the writers of Continuum use a lot of the ideas my mom would tell me about. So I showed her the show, and she watched the whole thing in 2 or 3 sittings she liked it so much lol. Anywho....
Kiera Cameron is an INFJ big time. Even the Liber8 people (especially Travis) called her the "Protector", which is a nickname for INFJ's.
Carlos is probably ISTJ (although there is a decent argument for ESTJ). I'd argue he's obviously Ne inferior. Doesn't have a thinking out-of-the-box bone in his body. When Alec shoots out some ingenious but esoteric idea, Carlos tells him to slow down. He wants it explained in Te terms, but he doesn't have the natural ability for Ne at all. His tertiary Fi shows itself when he is depressed after his Kiera from the earlier timeline dies. He feels for her even though the other Kiera is still alive. That's Fi that he is just starting to develop in his 30's.
Alec is 100,000% INTP.
Julian I'd say is INFP although he could be ISFP. An INFP are better at coming up with ideologies since they have Ne. Julian definitely has Fi as his dominant.
Kellogg I'd say ENTJ. My first instinct was ENTP, but that's not true. While he's his own breed of animal (and ENTP's are their own breed), still he relies on Alec's Ne and Ti constantly throughout season 3. He wants Alec's brain working for him. He needs the out of the box feeling only an INTP like Alex would have. So that means Kellogg has Te and not Ti.
Sonya I'm going with ISFJ. She appears like an ISTJ, but that flashback where she first meets Kagame tells us that ultimately she isn't one. She originally was more of a feeler that had to toughen up and develop her tertiary Ti because of all the crap that came her way. But that doesn't change the fact that she is a feeler before a thinker.
Garza is clearly an ISTP.
Lucas (like Alec) is an INTP.
Dillon is an ESTJ.
Roger Cross is an ESTP, doer.
Kagame is an INFJ.
Betty I'm not really sure on. I'd say she is either ENFP or ESFP. Not sure if she has Se or Ne as her dominant.