Well I think many times, the way character feel about others not necessary right (Conan did feel uneasy when he first met James Black, yet he turned out to be an FBI Agent, and quite a good boss to his subodinates). Beside, from other characters' view ( Akemi, or Jodie ) Akai was a good and gentle man.
Don't forget GA sensei like to confuse reader by drawing good/ innocent/ not involved characters with seemingly creepy faces at some points of the cases.
Anyway, personally, I think Akai's the cold outside, warm inside type, tho he grew colder and somehow obsessive to taken down Black Org after the death of Akemi.
As of approaching Mouri family, I think to keep an eye on the newly appeared character, to find which one is working for black org, and so.
Anyway, unless GA sensei planned to make Amuro a brand new character, OR Amuro is Bourbon and Bourbon had had time in the police force (for god know reasons), I think Akai is the most fit for this.
Who knows. GA sensei always knows how to surprise readers. All just ideas and guesses anyway.