She is showing great respect to the host of the party by having a good time. In America, people who host parties want nothing more then for the event to run smoothly and for people to enjoy the party. That’s why they added things like the X Japan song to be played by the band. They knew it would be something she would like. When you show that you are having a good time by laughing or dancing and clapping, the host and those putting on the party will be very happy. Takaishi-san made everyone at the party who saw this very happy. In one of the Japanese videos that was put out for her visit, you can see the band members smiling, that’s what they want and it made the band happy. Takaishi-san and all the Japanese people have no reason to feel upset about this picture, every American loves it(unless they just want to hate Takaishi-san for no reason). And it speaks to how great a politician she is.