Jed Bartlet: ENFJ 1w9 (Definitely an nf, he's ridiculously idealistic for a president. Look at the way he reacted to Maurice's death in season 1. Leo was his thinker counterweight. Jed had a diplomatic style and a love for just about everyone in the country. The man bled fe. Almost all idealized politicians are ENFJ, at least when they're written by lefties like Aaron Sorkin)
Leo McGarry: ISTJ 1w9 (He's more an administrator than a wonk. Stark contrast to...)
Josh Lyman: ENTP 6w7 (The staff's main ideas man. Motivated more by loyalty than idealism. Definite sensing inferior.)
Toby Zeigler: INTP 1w9 (Looks a bit like an INTJ, but I think he's just a grumpy INTP. Inferior fe explains the awkward idealism, and he was more a ti-ne gadfly than a ni-te visionary. I also see si rather than se.)
Sam Seaborn: ENFP 1w2 (A clear fi user and 1. His job is to spew out idealistic, semi-poetic rhetorical fluff. And he actually seems to buy it. The 2 comes out in the relationship with Laurie)
CJ Cregg: ENFJ 3w2 (Her job as press secretary does introduce a bias towards 3, but she really does seem to care most about protecting everyone's images, and is known as "a bit of a clothes horse". A fe-dom, she takes a diplomatic approach to the press. And her way of speaking suggests intuition)
Mandy Hampton: ESTP 8w9 (An excessively competitive, temperamental, over confident loudmouth. Was not sorry to see her go)
Charles Young: INTP 6w5 (His job as the president's nanny makes him look si, but he's clearly ti-ne (remember how he found the president's glasses without looking?)
Dolores Landingham: ISTJ 1w9 (A dumber, female Leo)
Donna Moss: ESFP 9w1 (Realistically, she'd be an awful secretary)
Joey Lucas: ESTJ 5w6 (Hard to type, for obvious reasons)
Percy Fitzwallace: ISTJ 6w5
Will Bailey: ENFP 1w9 (A slightly less sappy Sam)
Amy Gardener: ENTJ 8w9 (Could be an ENTP, and was probably intended to be a female Josh, but I think in making her a deliberate "strong feminist character" they inadvertently made her stand-offish, ambitious, ruthless, arrogant, and demanding enough to be a J.)
Abigail Bartlet: ESTJ 3w4 (No cause for Intuition as far as I can see. And she was rather imperious - odd, given that she had no reason to be)
Zoey Bartlet: ESFP 7w6
Eleanor Bartlet: ISFJ 5w6
Elizabeth Bartlet: INTJ 6w5
John Hoynes: ENTJ 8w9
Bob Russell: ESTP 3w4
Bruno Gianelli: ISTP 9w8 (Ti for campaign strategy, Se for Campaign presentation. Inferior fe is clear.)
Lou Thornton: ESTP 8w9
Arnold Vinick: INTJ 1w9
Matt Santos: ENFP 1w2
Lionel Tribbey: Psycho ENFJ 1w2
Oliver Babbish: ENTP 9w8
Ainsley Hayes: ESFJ 3w2 (Had an empathetic style: "think about that, next time you make a joke about the south". And a staunchly conservative ESTJ would be very unlikely to take a job in a democratic white house)