How did NASA acted dogmatic and bizarre with regards to The Face?
There is no evidence for artificiallity.
NASA would be first to bang the bongos if they find something on Mars with a sufficient possibility of being artificial. If they could find such a thing, they would get more money for funding a massive Mars program than they could handle.

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"Flying in space is risky business, but just staying on this planet is risky business too." - John Young, astronaut