Tableau lets you paste data from any application that uses csv delimited text on the clipboard (not all apps do). Here's a knowledge based article on it. http://onlinehelp.tableausoftware.com/current/pro/online/en-us/clipboard_datasource.html
Unfortunately, it didn't seem to work o nthe table you pointed out in your example, perhaps the HTML is too complex. But if you can somehow export the table as CSV, it can be loaded in Tableau.
Tableau Version 8 is due out soon, and has a couple different new APIs available that should help with connecting to data from various sources.