Currently I think the best you can do is something like this:
1) Select the root bone then ctrl+1 to store it in a selection group.
2) Click Bind on the Weights view and click a mesh.
3) Press 1 to select the root bone again.
4) Repeat steps 2 and 3 for each mesh.
It would help a little if we had a hotkey for Bind, we'll add that.
We could make it so if you hold ctrl when you click a mesh, it binds the mesh but doesn't select it and doesn't exit bind mode, then you could just click the next mesh.
We could also allow Bind to be active when you have selected multiple meshes, then you could bind them all in one click.
We have done all 3 of those in 4.0.20-beta.
