Centrism is a misleading goal in this case. The centrist choice means that the people who live in the city will lose.
The only hyperbolic language comes from "centrists" who steadfastly believe that no matter the case, no matter how bad one side is, you can take any two ideas and average them out to come to an answer. If I handed a centrist a loaf of bread and a bag of excrement, they would put together a shit sandwich to eat. Centrism is not common sense, it's not a logical position staked out through careful thought, it's just a religion.
No it isn't, no it doesn't, and no they wouldn't, in that order. There is no perfect system that works all of the time, but there are plenty of systems that work some of the time, and there's an entire world between 0% and 100%.
That's what, if anything, 'centrism' is about. And, in fact, the logical position can often turn out to be the one in or near the center, rather than a hard-line extreme on one end or the other. Who knew?
I'll address a few of your extra points too:
Cut-and-cover is not always cheaper than bored tunnels. TBMs are amazing inventions, and cut-and-cover often has to deal with buried utilities. Those can be very expensive to locate and move, especially since in many cases they are unmapped and unknown.
Bored tunnels are going to run into the same utilities and need to have them moved. Other than that, if the bored tunnel is the cheaper tunnel - by all means, bore a tunnel! I can't possibly get out of your way fast enough.
Moving pedestrians off the street into grade-separated paths is death to city life. Just think of your typical highway foot bridge. Is that what you want everywhere?
A subway station is hardly a grade-separated path, which are no more death to city life than bicycle lanes are. In fact, it isn't even a path - it's a crossing!
And, yes, I'm envisioning a highway foot bridge right now. I'd love to see one of these things replace every single crosswalk over a road that's four lanes or more, as well as every road with a speed limit above 25 mph. Every one. I have absolutely no problems with that.
With regard to the Big Dig, according to Fred Salvucci:
Another interesting fact is that Bechtel/Parsons-Brinckerhoff originally found the costs of the Big Dig to be $13.79 billion which was pretty close to the final cost (before financing). But they were ordered to find $6 billion in savings. Inspector General report:
No doubt, they were afraid public would reject the project if they had not been deceived.
There's no guarantee the public would have rejected the project, and there's no guarantee that emerging technology wouldn't apply downward pressure to the cost of future projects. And, none of this tells me why the Big Dig was a bad idea on a conceptual level.
In fact, let's frame this differently. Let's take the money out of the equation. I come to you, Matthew, and I tell you I've got this great plan - I'm going to tear down that unsightly central artery and replace it with a network of tunnels, and because I'm (hypothetically) filthy stinking rich, I'll be picking up 100% of the tab. You'll pay nothing, all you have to do is sign on the line and let me agree to start the Big Dig.
Do you let me start the Big Dig? If not, then tell me why.