I'm not sure why you expect to see LHC failures in the past instead of e.g. either a failure to attain sufficient level of technological development to build LHC, or a vacuum fluctuation preventing destruction of the world. If you wish, a fluctuation which looks just like Higgs.
It'd be trivial to reformulate laws of physics so that anyone who doesn't observe some interaction dies of vacuum decay.
edit: Also, if you adjust probability of theories based on improbability of your existence given a theory, using Bayes theorem, this anthropic consideration cancels out.
Today's post, How Many LHC Failures Is Too Many? was originally published on 20 September 2008. A summary (taken from the LW wiki):
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