"...So... I have to admit that I was thrown straight away in Chapter One, because this Bodie is not one that I recognise from the eps."
Phew! I'm so glad to read this, because I feel exactly the same!
I was just on my way out (we have sunshine! :-)) to reread the chapter, but then I saw your entry here.
And I couldn't suppress my curiosity.

I thought, ok, Bodie ist more 'killing machine' than we are used to, but certainly he just needs Doyle to make him more humon. But then we learn that Murphy is his lover, and he didn't manage to calm that Bodie down - so why should Doyle be more successful?

Something more is strange for me.
"...(Bodie is)so angry that he can barely breathe. The only place that he would like to be is back in the holding cell with Marik Habib, letting his fists crunch once more into human flesh and bone..."

But then he tries to help Doyle, and Doyle fights back - but Bodie doesn't use the opportunity to act on his fantasies of violence.
Instead Bodie 'is amused'. And he asks:

"Who taught you that?"

"Taught me what?"

"That block. It's not bad."

IMO that doesn't fit!

But all that won't throw me out of the story!
Because I like this scene above and I hope there will be more that way! :-)