I was wondering, since I know you think that the whole flying around the globe thing is a government conspiracy; are you afraid to get on an airplane?
No. Nor am I afraid that when I get on an airplane, I will accidentally land in the jungles of Zaire. Pilots aren't stupid, or blind, fuel is limited, and the ice wall is far away.
Do you believe that it's possible for the plane to accidentally fly off the earth?
Of course, just like it's possible to accidentally land in the jungles of Zaire. Probability of this accident occurring is low, however.
Also, since the earth is constantly accelerating upwards at 9.81m/s^2, wouldn't it be going at quite an ungodly velocity by now?
No, it wouln't.
And at increased speeds, wind resistance increases exponentially,
It doesn't increase exponentially, but quadratically. with the relative velocity of the air and the object passing through it. Fortunately, the relevant relative velocity is zero, since we are moving in the same direction the air is.
so wouldn't the rate of acceleration slow, thus eventually eliminating the fake sense of gravity?
The rate of acceleration would asymptotically approach zero, but only from the perspective of an outside observer, and for reasons unrelated to wind resistance.
Hope this clears things up for you.
-Erasmus