Properly inflating your tires can improve gas mileage by 3%. Let's be generous and assume that one-half of the total possible savings would be realized if we all inflated our tires properly. Americans drive approximately 2,880 billion miles per year. If we average 24 mpg, we use around 120 billion gallons of gasoline in our vehicles. If, through perfect tire inflation, we improved our collective fuel efficiency by 1.5%, that would be 1.8 billion gallons. A barrel of oil produces around 20 gallons of gasoline, so the total savings available through tire inflation is approximately 90,000,000 barrels of oil annually. How does this stack up against "all the oil that they're talking about getting off drilling?"

ANWR: 10 billion barrels
Outer Continental Shelf: 18 billion barrels
Oil shale: 1 trillion barrels

So, on the above assumptions, it would take only 11,308 years of proper tire inflation to equal "all the oil that they're talking about getting off drilling."

Absurdities! Shouldn't we save some resources for future generations?

Besides, those savings you calculated would be seen immediately. Whereas, the drilling would not and would further postpone advancements in alternative, renewable energy.