There's any number of variations on the question "How do I get my unnumbered sections into the table of contents?" ...
- Creating unnumbered chapters/sections (plus adding them to the ToC and/or header)
- \tableofcontents does not list the unnumbered chapter
- How to use \section*{something} without removing it from the Table of Contents?
- ...
and none of the answers are any good to me, because they all involve sticking \addcontentsline, plus maybe other stuff (\mark, \phantomsection, ...?), at just the right place in the document. In my case, the \section* commands are being issued by packages, and they don't give me hooks to insert stuff at just the right place; and also it is unclear exactly what set of "other stuff" I need. It would be simpler and more robust if I could just redefine \section* so that it behaves exactly as its non-starred version does, except that it does not print a section number.
How do I do that?
Note: KOMA-Script classes are not an option. I am currently using plain article for drafts and I will eventually need to drop in a journal's class.
Note 2 (from comments on an attempted answer): adjusting \secnumdepth globally will not work for me, because (a) I still want normal section numbering from unstarred \section etc, and (b) the packages that are issuing \section* commands can't be persuaded to use plain \section instead.

titlesecan option? – touhami Feb 11 '16 at 18:40titlesec/titletochave anumberlesskey, which allows for different formatting for numbered and unnumbered sections, chapters, &c. – Bernard Feb 11 '16 at 18:54titlesechas no option which makes\section*do what I need it to do. It has commands which are intended to replace\section*, but they do not help me, because I don't control the code that's issuing\section*commands. – zwol Feb 13 '16 at 23:22