Is there a way to access the new “model space” objects form “project space”?
Or is it possible to query that model using the Tooling API?
There are some things from model space that are “bridged” into project space, such as tasks. This bridging is evolving and will get better in future Gradle versions.
As for accessing the model via the Tooling API. There are currently some internal APIs for doing this. Official support is in the works. You can take a look at the details in the design spec: https://github.com/gradle/gradle/blob/master/design-docs/tooling-api-custom-models.md.