The Storage Labels Mod adds Labels which can be used to label your storages, and includes a feature where you can right-click a label and it will open the GUI of the block behind the label. However, this doesn't work with MI's blocks, so I opened an issue in that mod and they told me it was an issue with this mod, rather than the Storage Labels mod.

Here's the latest.log showing the error message that pops up in the console when attempting to use this feature with an MI block.

Small update, it's not just Storage Labels. ClickThrough and Improved Signs have the same issue.