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They could fix our crumbling infrastructure... reduce overcrowding by making prisons largerUnskilled people make crappy engineers and construction workers.
> provide child care
These days, child care workers need a lot of paperwork and a bit of training. Not to mention that you kind've have to be good with kids; it's not really a job just anyone can do.
> in-home care for our elderly
And this is in the same bucket. Forcing people into a caring role makes for bad carers.
> build community gardens
This one could work... but then again, how many gardens can you have, and how many folks would they support the work for?
Throw in also that all of these things are not 'free labour'. You still need to manage and train that staff, and you're going to have higher overhead costs because you'll have higher turnover. It's not as simple as just saying "labour = free, so go do something".