I tried doing a bit of searching but didn't find anything like this, so:

I've been trying out DisplayFusion, and I like it, but I do sorely miss a feature in UltraMon that inserts window-related functionality into the right-click popup menu of items in the taskbar. E.g., functionality like "Move window to next monitor" on an application window's right-click popup menu. Would this be possible? Thanks!

what I miss is the "standard" buttons on the additional taskbars, i.e. task manager etc.