It's much easier to do nothing and use the excuse of general non-aggression and not messing with the internal politics of foreign nations, just like they were doing.
They´re messing with internal politics RIGHT now. The Japanese embassy took in the loli-bait. That´s messing with.
I simply get the feeling that the JSDF would go all "whatever, we are such morally good people, we don´t obey orders that we don´t like" bullshit.
"She's the only non-loli girl in the show, your honor!" will be my defense in court