1996 as the peak year is interesting to me, since that is the same year Clinton was reelected. I'm not old enough to have any special insight, but I wonder whether him reelection took the wind out of the sails of many right wingers? I could be wrong, but I feel like the right-wing backlash was less of a driving force in Obama's second term than it was in his first. Maybe the same dynamic was at play in the 90s?
While not explicitly directed at him, the Malhuer takeover and Gamergate were major in bringing about the Alt Right and the various militia movements.
You could argue that second-term opposition to Obama was more similar to the 90s militia activity than first-term opposition to him, since stuff like the Tea Party was heavily astroturfed and openly focused on resolidifying Reaganism as the American status quo, whereas Malheur and Gamergate were, whatever else can be said against them, genuinely grassroots and focused on issues other than the ones that Republican leadership wanted to talk about. You could even, somewhat more edgily, argue that the Trump opposition's adoption of "resistance" terminology was a tone-deaf attempt to brand a Tea Party-style elite-driven opposition as if it were a Malheur/Gamergate-style "netroots" opposition.