Yes We throw the word 'believe' around because it's a common term. But, for those of us for whom our basis is #EmpiricalEvidence / #LogicalReasoning , we should perhaps use a word like 'accept'.
I 'accept' the conclusions of science.
People do 'choose' to believe religion, in the same way that people choose to drink alcohol — it's comforting.
Similarly, people choose to accept the nonsense spouted by Farage or Trump — it appeals to their deep rooted prejudices.