Actually, Diana was set up with better disguises in Justice League and Lobdell's Superman. The recent Batman/Wonder Woman showed Diana using glasses as well, if I'm not mistaken. Like I even noted, Johns showed Diana with the ability to change in and out of her costume as if by magic.
Following the lead of Azzarello, when his lead doesn't work with the story and is actually lagging behind in ways that no longer fit the Wonder Woman that Soule is writing, is a stupid lead to follow, especially when her trench coat is apparently so silly that its dozens of buttons mysterious pop open from one panel to another. I guess Diana is just fortunate that she didn't bump into Jimmy with her outfit and boots so easily visible. She could have really caused trouble for Clark that way.