You'd need either moophysites or dyophysites - ideally both - to actually regard it as a workable compromise, instead of utter nonsense. And I'm not really sure how you do that without changing some stubborn men.
Iirc, the Monophysite establishment generally was fairly supportive of the Monothelite compromise, viewing it as a triumph over the Chalcedonian heretics. The trouble came from the bishops of the West, and the Palestinian monks. The latter could probably have been dealt with with a good old bit of repression, but the former are a much more intractable problem.
The trouble was, as Justinian and his successors found, by the middle of the sixth century the feud had attained something of a self-fulfilling nature: bishops did not want to compromise because to do so would be to betray the memory of their famous predecessors, regardless of whether those predecessors were actually reasonable or learned men. This was a problem endemic on both sides: the bishops and clerical hierarchy simply did not
want to end the feuding. Add to that the issue of the Western clergy being particularly unhelpful (after all, there were only Arians to deal with in the West), and you have the recipe for a pretty much endless set of problems.