I didn't see the Asolo production, but I have a feeling this is going to be pretty good.
It's too early for me to bet any money on it, but I went to the press preview a few weeks back and was fairly impressed. The music, though it definitely hearkens back to "Les Mis" in its grandeur and overall tone, is pretty strong, as is the cast, especially Natalie Toro.
We were also taken, during the press preview, to see the set in a warehouse in Jersey, and, even though it hadn't had the finishing touches around it yet, it looked spectacular. As long as the writing of the book and score are up to snuff (definitely a major if), it should be just fine.
I wrote a preview piece about it that's a little lengthier, with some great quotes from the actors and the writer, if anyone wants to take a look at it (SEE LINK BELOW).
musicOMH.com: Broadway Preview: A Tale of Two Cities