The railroad wasn't built all at once, either. It was two teams, one going east, the other west. The companies were paid as work progressed, they did not have access to all the funds in advance. They didn't even know the route to be taken, they had survey crews working ahead of the construction, marking the best route.
If you don't think they had a much larger logistics problem, consider the problems with supplying the crews with food, water, clothing, rails, ties, horses, wagons, everything they need, from a thousand miles away.
The most important thing, though, was the companies were paid by the mile. The faster they built, the more money they made, because that would push the meeting point further away. They had ENORMOUS incentive to move fast. And it worked.
ST, however, has no incentive whatsoever to move things along. They have every incentive to delay, invent problems, all so they can go back and demand more money.
At a company I used to work for, they hired a team of old software engineers to write a piece of software for a good customer. It took them 3 months, and arrived on time and under budget. Want to know the secret? They had a huge bonus for being on time (I think it was ten grand apiece), which would shrink away for every day late.
I asked if that was what motivated them to be on time, and they all denied it with "we're professionals". I openly laughed at that.
It's amazing what happens when the incentives are aligned with the desired results. We saw that last year when vaccine developers wanted 18 months to develop a vaccine, and Trump gave them a big financial incentive to get it done before the end of the year. Later came the usual denials that these incentives motivated them in any way :-)