I don't see why that should be a problem. There is also a clear correlation between scientists and religion (or lack of belief).
What if it's more an issue of political belief aligning itself against science? We've all seen the numbers on which Americans believe the earth is 5,000 years old, right?
Bias can influence many things in science, not least of which is hypothesis selection. Through no fault of their own, scientists who have beliefs may not come up with hypotheses that contradict them, and therefore fail to test them. They will select the better of the two hypotheses they have, but they may miss something. This is a flaw in the scientific process that goes way beyond bias, by the way. It's the part that not anyone can do: that requires creative thinking, and is limited by it.
To emulate Churchill, science is the worst way to discover truth, except for all those other ways that have been tried from time to time.
There's no reason why your views about whether Jesus rode a dinosaur or whether global warming will kill us all should be correlated with your views on issues like "Should taxes be lowered?" and "Should the Government subsidize health care?" and "Should [whatever random complicated policy issue you like]?" And yet, they so often are.
In a two-party system, people who don't spend all that much time thinking about politics often seem to wind up buying their political opinions in job lots. Part of this is due to the success which the Democrats have been having with their "If you don't believe that Jesus rode a dinosaur then you need to support all our left-wing economic policies" line, but this is a serious problem both for Republicans and for Science. (And as a Republican scientist, it's a doubly important issue for me.)