The phrase "alarmist side" means that someone is expressing or promoting excessive or exaggerated concerns about something, often with the intention of causing fear or panic. Full definition
If I wanted either of these I would have sold myself and departed to the alarmist side many, many years ago — science be damned! (dotearth.blogs.nytimes.com)
Best quote: «As a scientist, what I personally find most troubling about the global warming debate is the gross misuse of science by those on the alarmist side. (realclimate.org)
I think sidd and others (e.g. Aaron Lewis @ 193) might be erring on the alarmist side with talk of (e.g.) sustained 40mph ice movement. (realclimate.org)