Using my incredibly shoddy PHP skills, combined with my staggeringly shallow knowledge of WordPress I've put together a Widget that shows Name, Gravatar and Rep in an XBox Live "GamerTag" style display.
It's using a screen scraper as I couldn't see a better way to do it, but hopefully it should work for most people. I initially created it as something to use myself, so I haven't done a huge amount of testing, but if anyone has ideas/fixes/problems/anything else feel free to post :)
More details and download here.
I’ve made a few changes in response to a few comments, and also removed the little place holder and badges in there. It takes into account badges that have been awarded multiple times, so it should be the same as your Stack Overflow page :-)
I've uploaded v2.0.0 to WordPress. It implements caching and uses the Stack Overflow JSON feed, rather than the old screen scraping method. This cuts the load on the Stack Overflow servers, reduces the data transferred to your blog and should make it less fragile if the Stack Overflow guys decide to rework the look and feel.