Even with the meteor there would be a lot of people that flat-out deny it and blame governments, scientists, secret societies, etc. conspiring to achieve an ulterior objective.
there would also be a raging debate about the fairness of who should pay for the meteor. politicians would use it to score points on opponents, and try to claim that if elected they would get country X to pay more for the meteor since they have a higher population etc
i.e. meteor on 100% collision course...yes. 5%...less confident humanity will pull together