First of all let's emphasize that syntax rules don't work alone, but they need the correct Content-type
header to be fully interpreted by the clients. Currently web pages cannot be served with the correct XHTML header because Internet Explorer doesn't understand that.
The first advantage usually mentioned is that XHTML requires pages to be well-formed: true, but when browsers treat them as (malformed) HTML nothing enforces this rule, so it's up to you being a disciplined developer -- but you can be as disciplined writing good well-formed HTML too.
Another point often mentioned is that XHTML promotes the separation between content and presentation, but even in this case it doesn't really offer anything that can't be done with HTML -- it still depends on the developer since nothing is enforced, and no exclusive tools are offered.
So why do so many developer (including those of famous CMS/blogging softwares) still use XHTML syntax instead of directly writing what those pages will become anyway (i.e. plain HTML)?
Related fact: Stackoverflow uses HTML strict.