You're correct his frequency was wrong - but you've mis-understood his post - the frequency part wasn't about filtering, it was about making an inverter that runs at 60Hz.
But basically his entire premise is probably no good, as running it off batteries will only last a short time, or will require huge batteries. Regardless of battery size it will be many times more expensive to run than from the mains. It's be cheaper to run mains to where he needs both short term and long term.