Yes, The Wire is a human story. And their personal motivations and decisions, and the results of those choices are what are compelling and informative. I think "Sgt Fatso", has a surprisingly good number of lessons to teach on middle management, for example.
I think, however, that that choice of these characters, motivations and stories fits within the larger theme I described above.
Some care only about their success (Rawls/The Reporter who makes up stuff)
Some care about the greater good but sacrifice it for personal success (Mayor Littlefinger)
Some want the organization to succeed (Sgt Fatso)
Some want to do good but are thwarted (Daniels & the editor who's name I can't remmeber)
Some do bad and throw it all away trying to do good (McNulty)
And there's many more. Ultimately that's what the show is about.