I'm having a hard time believing you really think this way. What would you do to London or Paris?
Can you not appreciate different periods of architecture? Can you not appreciate the city as a living thing with a history? You would turn the city into a downtown version of those spic and span, treated lawn Stepford wives subdivisions in Williamson County, which totally creep me out.
Concrete is my favorite building material, but in my opinion it doesn't become beautiful until it has streaks and stains on it. A little moss or algae is nice as well.
The problem with the historical people is that they have an ahistorical view of the city. They're upset that if the new hotel on lower Broadway is built, there will be modern buildings next to old ones! I want modern buildings next to old ones. And while I'm not especially fond of very tall buildings, the best thing about them, to me, is that they will be around, and representing their time periods (hopefully without too much "updating") for a long time, most likely centuries. I don't think people appreciated this fact when they started building them.
I have a lot of concern for buildings like the Stalinist Dorms @ Vanderbilt, and the L&C belongs a bit in this category, that are old enough to be out of style and not old enough to be appreciated as historical. I hope the cost of destroying the dorms is high enough to protect them, although I imagine Vanderbilt's budget is pretty close to infinite.