My favorite counterargument to moon conspiracists is the following: it was technically possible to fly to the Moon, and way easier to fly than to convince everybody without actually flying; so - why not to fly? Technical details of the Apollo project show, that it's not rocket science :) by today's standards at least, not so much. Meaningful application of known approaches, moderately conservative (say, F-1 parameters, except thrust, were well within known models proven already experimentally), with a lot of work... but not really magic, no more than you'd expect from a project of that size.
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My favorite counterargument to moon conspiracists is the following: it was technically possible to fly to the Moon, and way easier to fly than to convince everybody without actually flying; so - why not to fly? Technical details of the Apollo project show, that it's not rocket science :) by today's standards at least, not so much. Meaningful application of known approaches, moderately conservative (say, F-1 parameters, except thrust, were well within known models proven already experimentally), with a lot of work... but not really magic, no more than you'd expect from a project of that size.