The 'mutually perpendicular' principle (I think) really only applied in a system of interactions. For example in an electric motor the charge creates a field, which makes motion. The flow of charge, field and motion are all 90 degrees from each other. But for electrons in a galaxy their flow of charge isn't being generated by motion through any single field so their motion would be scattered.
I think because each separate heliosphere would have a different field orientation and strength as well as relative motion to neighboring heliospheres it would be far too random to calculate and probably have a net zero value.
But I'm not sure and I haven't researched it. If you do find out, or if anyone knows the answer I'd be fascinated to find out.
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