Is there a Biblical basis for not believing that Global Warming is occurring? This is something that has confused me over the years. It appears that many Christians stand against the belief that global warming or climate change is occurring. But I have yet to hear any biblical reasoning. What is the biblical basis, if any, that some Christians claim that there is no (potentially devastating) climate change? Furthermore, how does this affect how a Christian should believe and act regarding this issue?
No.  The Bible says nothing about global warming either way. Any attempt to twist any scripture to support or deny global warming is pure speculation.

Global warming is something that is squarely within the realm of science to support or disprove. We have facts, evidence, and trustworthy (if contradictory) data.  It's a matter for scientific inquiry not Christianity.

Global warming does not predict the end of the world, a repeat of a global flood that would wipe out all mankind, or anything else that would contradict Scripture. Global warming is irrelevant to Scripture and vice-versa. It does predict flooding, but not at the scale necessary to conflict with God's promise to Noah. In short it predicts hardship, not total destruction.

As for how global warming should affect Christian worldviews (and vice-versa) the two are completely unrelated, and should affect each other no more than Brittney Spears' favorite color should affect what I want to eat for breakfast. (which is bacon and eggs.) 

We're already supposed to be good stewards of the world God gave us. The truth or falseness of global warming does not change the fact of our responsibility.