MakerBot Print is our newest print-prepration software, which supports native CAD files and STL assemblies,
allows you to interact with all your printers via the Cloud, and many other exciting new features.
I would not say "Not at all optimized for FDM printing", as I printed a bunch of them at different scales without any support issues. So if your supports breaks it is likely due to an inadequate support configuration. With cura and default supports options (zig-zag, distance=2.6mm, angle=50°), I get the supports pattern shown on the attached image.
Another source could be plastic retraction that makes support to warp and finally the nozzle touches it, but this is not related to the model.