Just so that we are all clear I'm talking about the weapon on the right.

So would it be called a vouge francais?

You can see why I compared it to a nagamaki.
http://en.wikipedia.org/wiki/Nagamaki

It's actually the glaive.

Here is a pic of a modern replica that I found on line(can't remember where though)...

So is it just a short glave? What would the name for it be?

It might not have a contemporary name beyond "this thing I'm carrying." If you're asking for a modern categorisation, though . . . no idea.

Is it just me or are those replicas looking way too pointy for safe combat?

Awesome!

For quite some time, I had wondered why there was no European equivalent to the nagamaki. Guess I was mistaken. :)

Now I just need to find someone to make me one.

i think youd be reasonably safe to call it a glaive, generally haft length doesnt feature much into classifying polearms
mostly polearms are seperated from one another via the shape of the head, spears differentiated from a partizan poleaxe differentiated from halberd
this is most likely a glaive.

After looking again, is it certain that the handle isn't just hidden in the throng behind the wielder? Has anyone seen a period glaive with a haft that short before?