Should I cite author names as they appear in the journal or as I know them to be complete?
I disagree with the statement of "a publication must be referenced exactly the way it is published."

From Knuth's Mathematical Writing


  In his bibliography Knuth has tried to keep his citations true to the original sources. The bibliography contains mathematical formulas, full name spellings (even alternative spellings when common), and completely spelled-out source journal names. (This last may be unusual enough that some members of a field may be surprised to see the full journal name written out, but it’s a big help to novices who want to find it in the library.)


This means that you can change reference, give full name of authors, give full name of journals. It may be unusual but it can be done and it is DONE. It is done by one of the most respected authors in the academy. 

To answer your question:


  So my question is: am I incorrectly citing the article when I include more complete information about the author's name than is given by the journal article itself?


When you include more complete information, you are not doing anything wrong. Actually according to Knuth, you are doing very good job.

Therefore if your target journal does not have any rule about same reference rule, you should be perfectly alright.