I wrote a column on divine emotion back at the beginning of 2014:
http://www.deseretnews.com/article/865595143/The-most-moved-mover.html?pg=all
I still regard this as a vitally important theological point.
And if, as passages such as Colossians 1:15 and Hebrews 1:3 suggest, Christ is a perfect representation of the Father, the emotion on display in John 11 is profoundly significant.