New Nikkor 70-200 f/4 vs f/2.8

[Cheese&Apple]

There's a fair bit of buzz going around about the new Nikkor 70-200 f/4 FX that is now shipping. Without doubt, this is a great lens. But, I'm wondering about this lens compared to the Nikkor 70-200 f/2.8 FX VRII and Nikon's pricing:

A new f/2.8 = $2,000 (now on sale from $2,400)
The new f/4 = $1,400

That's a $600 savings. But if I do decide to get the optional tripod collar from Nikon ($200) and have to get 2 new filters ($400) because my 77mm filters won't fit the 67mm f/4, the price comparison is:

A new f/2.8 = $2,000
The new f/4 = $2,000

I know there is a VR improvement (VRII vs. VRIII) and the 690g weight difference between the two can be a factor but seriously, is the weight really that important given the advantage of f/2.8 over f/4? Just looking for thoughts as I've never schlepped a 1540g lens.