The military is quite good at operations 'other than war'. I was a minor cog in one effort, in 1991: Joint Task Force Sea Angel.
Details are searchable, but the upshot is that NGOs (I no longer recall if the term was used then) provided far more disaster relief assets and supplies, than the military did.
What the Marines brought to the party was command and control, and the ability to field, and support, a thousand guys in only days for delivering food, water, and medical aid.
And also, one shouldn't underestimate the ability of a brigade of disciplined troops to control masses of infected people. If they're told 'don't shoot' then they won't shoot.