As someone who isn't well versed in this Node ecosystem, why is omitting a standard library a separate project? It sounds like something you'd do as a Node feature, or variant of Node, or some command line switch or env var or whatever else is needed to avoid whatever it is you are trying to avoid.
There's no way to not bring along the entire Node.js standard library when you're using Node.js. It also doesn't provide a way to fully abstract over the underlying JavaScript engine, which Bare needs to be able to support swapping out the underlying JavaScript engine without any code changes. See https://news.ycombinator.com/item?id=43559532 for more on that.