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Inuyasha crying at Kikyou's final death is very moving but I think it's important to remember that by his own admission, he would not have been able to cry for her, before. It's only thanks to Kagome that he feels comfortable enough with himself to cry at all and show vulnerability to others. That's what really makes that moment beautiful to me. (Though in a bittersweet way, obviously.)
I also want to focus on the "What true strength and kindness is" line because to me this implies Kagome is the paragon of strength and kindness that Inuyasha wanted to model himself after. Obviously we all know that potential was already in him and Kagome coaxed it out and praised it from him, but I think it's really beautiful to hear Inuyasha thought of Kagome as his role model, in a way. After all, being brave in order to help people WAS one of the first compliments Inuyasha ever admitted to himself about her.