Don't underestimate Blanco.
Would the public persona she exhibits have made it to the top of Al Capone's regime?
What you see is a facade.
Look deeper.
She's obviously a very crafty and vicious politician, who thought first about politics and then later - maybe - about the people in her state.
A lot of ditzes are savage and ambitions, btw. They're incompetent, but that doesn't really bother them. If you've ever worked with one, you'll recognize the type. However, most of them don't control the fate of millions of unfortunate people.
I'll take your word for it. My take at this point is that she's a puppet for the DNC and/or the Klintoons. Witt is there to assure she fulfills her commitment and talk for her since all she seems to be able to do is look teary-eyed.