So I got to thinking what don't the Illuminati cover? I see them as both pre-empting threats - cos threats always come from somewhere - and also having a pool of near infinite resources. Like this:
Cap - every super hero listens to this guy. He has unparalleled access both to the Avengers data and Shield's data.
Ironman - Technology.
Xavier - Unconnectedly, the mind and genetics.
Strange - magic / mystic arts.
Richard - the real polymath, covering 'Science' but also, time travel, all the non-human races that share our world, space, other dimensions, maybe alternate dimensions.
OK - there is some cross-over there. My question is: if they added someone, who should it be and what would they have to bring to the table?
No one on this team speaks for Marvel's pantheon of gods. That, and the other untapped source of problems / resource is Marvel's realm of the dead, leads me to: Valkyrie. She would also provide a much needed female perspective to the team, the female psyche being an unfathomable threat and untapped resource for the current roster.