Surely any half-decent government should be able to find some scientists it can trust? I don't think this issue should be decided by "number of believers" vs "number of non-believers".
Sorry for a cynical answer, but your comment assumes that there are any governments that believe it's important for them to be trustworthy. I certainly don't get that feeling here in America, on either side of the aisle.
Not the government, the scientists. Assuming that the government wants to make the right decision about climate protection. But you are right - that is probably too much to assume. Realistically they will only worry about reelection.