I used Greased Lightening to strip the anodizing off two Shimano chain wheels, and it worked well. It definitely wasn't much of a hassle and I'm glad I did it. They were gray anodized, not black, but being Shimano I'm pretty sure it was good, tough anodizing so will probably be comparable to your black.

My opinion: do it - shiny silver will look better with the Dura Ace crank and I think you'll find it's not that hard to get it shiny silver.

I can't remember the exact procedure, but I just found it on the web (maybe even YouTube), and just followed the common directions people posted.

[edit] just looked at the above link, and that's probably the method I used.

I had to buy a gallon of the stuff (that's all they had at the Home Depot or wherever I found it locally... it wasn't expensive enough for me to justify looking around town for a smaller quantity). I used maybe a quart. According to the label, I will probably find another use for it sometime.

I followed that with polishing with metal polish I have on hand. I happen to have a buffing wheel (be careful or those teeth!), but you could hand polish it too. It looks great. Much better with the all shiny silver parts on a vintage bike.