In iD, how do I separate a node from the middle of a way?

Here (api06.dev server link, which needs a separate account) is a test "bus stop" in the middle of the road (prompted by this question). I'd like to separate the bus stop node from the way and move it somewhere else.

I can just about manage to do it by splitting the way, "unjoining" the ways, moving them each out of the way (including the node) and then back, and then rejoining the ways, but it's a much more complicated process than either of the other editors so I'm sure that there's a simpler way to do it.