1968Rouleur,
That's not something that Facebook has an easy 'widget' for it like for the FanBox, Comment box, etc. JFBConnect would make it easier to get your like stream from your Page and display it, but it's not a feature that's in there natively.
To do so, you'd need a developer to do a bit of coding. On the page below, just a little ways down, you can see a bunch of links. Those are easy URLs which you could use to fetch the 'Likes' or other information from your own profile or Facebook Page. You could use JFBConnect to fetch the contents of any of those URLs, parse the data, save it to your database, and then display it to the screen in a module or other place. It would take a bit of work, but, again, is actually possible.
We would be able to give some pointers on how to do it, but you'd need a developer to do most of the work.. we'd just be a resource if they needed help.
Hope that makes sense at least, but if you have other questions, just let us know.
Thanks,
Alex