Your train example is a pretty good one, but you've mixed up the metaphor. Here, "stepping out of the way" = mass migrations out of coastal cities. "A mechanized winch that temporarily lifts us over the train" = flood control projects like in Tokyo, Houston, Venice, or the Netherlands. "Calling the train company and asking them to stop running trains" = stopping global warming by addressing carbon emissions.
If you had a train barreling down on you, which one would you choose? I'd bet it wouldn't be calling the train company and asking them to stop running trains, because a.) they are unlikely to anyway and b.) even if they were willing, by the time you got through to someone with the power to stop the trains you'll probably be dead anyway.
I'd argue that the actual solution to global warming will be more akin to "stepping out of the way": people will evacuate from major cities, major cities will be destroyed, and people will pick up the pieces of their lives elsewhere. If they're proactive, they might evacuate before the city is actually destroyed, and we'll see mass migrations of people (as have been happening for the last several hundred years anyway) away from areas that will face greater climate risks and toward areas that benefit from global warming.
That's what humans do: we adapt to our environment. Only in particularly hubristic times (like now) have we expected to adapt our environment to us.