Federer doesn't have a lot of edge in any of his rivalries, because Fed has always been a stand up guy and respectful towards all of his opponents. He hasn't been really massively disrespectful to anybody (not in comparison to the things that have come out of certain players mouths, or their relatives), and most of the tour seems to return the favor. He's like the elder-statesman of the tour and its really hard not to like him unless you just like to have a problem with him for the sake of it. There have been heated moments, but its not like when Serena and Maria take the court where you know Serena wants to flatten her and Maria wants to prove she isn't going to be flattened.
Kyrgios is the opposite, there always seems to end up being some kind of tension around him, although he actually generates most of it himself.