If it's discrimination of people who refuse to believe scientific evidence without providing a suitable counter then I don't see anything wrong with it.
Especially if said person could have the power to vote on laws and ideas that relate to climate change and could have huge consequences on the future of our planet.
I don't know where you get your view of "refuse to believe scientific evidence without providing a suitable counter" from.
Let's remember what 'Catastrophic Anthropic Global Warming' (CAGW) maintains
CO2 is a Green House Gas -
No-one disputes thisHuman beings are increasing GHGs -
No-one disputes thisA doubling of CO2 causes a 1.1 deg C rise -
No-one disputes thisPositive climate feedbacks inflate this to 3 deg C -
Strongly disputedThe Intergovernmental Panel on Climate Change (IPCC) monitor a huge number of climate models which are founded on the the above and the end result are their CMIP5 model predictions.
Again, being a sceptical git, I went to their web site and downloaded the model output and have graphed it against the observed temperature record. The result was
That, and a huge range of other disconnects lead many, including a large number of 'in post' climate scientists to doubt the extent of 'Global Warming'.
And this scepticism (returning to this thread) would cause me to be fired from a government IT establishment - or from being the Chief Veterinary Officer !!