I can't imagine having Trent, Terry, Cole or Suarez in my favourite anything!
Well, not sure how well it applies to the ones you mention (I wouldn't have picked any of them myself) - but it is, or should be, possible to appreciate the art (as it were) of an utter cnut.
Suarez, he's the most obvious example - I wouldn't have him in my XI, but there are aspects of his game I appreciate very much.
I've said this before, I'm sure - but my grandfather was a big football fan. He loved football, followed it closely for all his life, took an interest in new developments (which he didn't dismiss just because they were new), etc. But he absolutely despised anything to do with celebrity culture - he didn't give a single feck about footballers as persons.
Of course, this was a principle that was easier to adhere to before the Internet era - you generally knew less about the players, and could easily avoid knowing certain things too. But I still think it's a sound principle.
I know many will disagree - how do you ignore that a player is a [insert whatever you want]? But for me, it's both possible - and indeed essential - to separate the art from the artist.
(Anyway - tangent, etc.).