Couldn't you just combine some open source LMS + skype group calls? Or if you want video conf to be open source too, maybe jitsi? See
https://jitsi.org/news/new-feature-brady-bunch-style-layout/Looking at https://aribadernatal.com/projects/Minerva/ it seems there are a bunch of other tools like "Degree Planner", "Course Builder" and "Assessment tool suite" but I guess you can expect som lesser version of the tools will be available in the LMS.
I don't think it's just the software that makes Minerva a winner... It's probably the well though out curriculum and teachers leading the classes. Also I hear they are fairly selective about students they accept. Basically, smart students + dedicated teacher + good curriculum = score, and software probably just gets some assist points.