You could embed something like this into a Tableau dashboard (via our Web Page object). But it would be pretty much "disconnected" from Tableau - pretty much just arbitrary content you plugged in.
At the time of writing you cannot achieve that style of visualization with current (8.1) Tableau's capabilities.
Try the following:
Circos online docs
Someone awhile back did a viz like this where the pre-computed the x & y coordinates for each mark in the data source, then drew them on a scatterplot and had filter actions to do some expanding and collapsing, unfortunately I don't have a link. I don't remember how they showed the hierarchy, it might have been with a bounding box rather than lines.
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Why not just build it in D3?
In theory you could use a URL action to pass a parameter to a D3 viz that is embedded as a web page object on your dashboard. I don't know if that is more work then it's worth though....