[AUCTeX] isearch in LaTeX buffers

[David Reitter]

AUCTeX nicely inserts the correct quotes when I press the double quote  
key.

Problems occur, however, when text is edited, where double quotes are  
represented as two characters each.

Also, "isearch" fails (and, probably, other search mechanisms, also  
fail) when searching for a quote.

Are there any provisions for these issues by any chance?

(For the isearch issue, some changes to the isearch keymap might be  
possible. For the editing problem: I don't know.)