It’s not altogether clear to me exactly what you’re using as your source for evidence of the Left’s ‘type/level of reaction’. If one must judge by what’s been observed on BB (and perhaps other Left-leaning websites), then I wouldn’t assume too much by what is posted; some on BB here and elsewhere may well be involved in action groups, or themselves be among the organizers… or perhaps most active group members/organizers are very much and only that – ACTIVE – and not ‘armchair protesters’ who only scream at the TV and post their objections and views online.
Then there’s perception: The Alt-Right have jackboot, hate-fueled, gesticulating hotheads… which in turn attracts inordinate media (and the Left’s) attention (i.e., see the freak show), and beyond that afforded to peaceful gatherings and protests by the Left; this would make it seem that the Alt-Right is more active than the Left. But witness over the past years how the active (out there and visible) Left has so far outnumbered the active Right.
As far as any “actual nimble missions” carried out by the Left, I believe those are going on (unless you and I differ on what’s “nimble”) as evidenced by effective protests re Confederate figure statues, and the Left’s on-the-ground reaction to the Right’s recent so-called freedom of speech rally.
This is the part where I make a completely unsupported prediction: So far most (obviously not all) local, state and federal governments have vocally appeared to have sided with the Left vis-a-vis the Alt-Right. That, and the obvious more Left-leaning attitude of the bulk of the media, has perhaps calmed the Left, or at least informed the Left on how it has calibrated its responses so far. I suspect though that if the aforementioned situation took a bad turn, then the level of activity that seems to be deficient now will be adjusted accordingly by the Left and to the level required. A hint as to the possible direction/intensity of that adjustment could be the recent ‘punching out’ of Neo-Nazis’, and those occurrences could give many others on the Left ‘ideas’. Even we on the Left have our breaking points.