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Elderflower-
Yes, there does seem to be a problem involving the booster attachment points, in addition to a sturdier structural requirement.
SpaceNut-
I haven't been able to find any data for a mixed MMH/Hydrazine fuel The energetics of straight N2H4 seem attractive, but it's shock sensitivity is high. On the other hand, stability of Aerozine 50 appears attractive. The energy content of a 25% MMH and 75% N2H4 could result in an 8-9% performance boost when burned with LOX in the Falcon 2nd stage. That IS significant.
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