>>>Flying isn't a right.
Yes it is. Read Amendment 9.
Wow, someone badly needs a refresher course in Con Law. Amendment 9 doesn't mean that anything you can dream up is your "right" automatically. It's typically only applied to certain areas of "privacy" (e.g. the original Roe v Wade decision was based largely on the 9th Amendment). Anything that falls within the "police power" of the states or the federal government, i.e. anything that touches on areas of public concern, such as safety, health, monetary policy, etc., is not covered by the 9th Amendment.
Plus it would be impossible for me to attend a Friday meeting in California if I had to travel by car or train (2500 miles is a frakking long distance).
Now you're just being even sillier. Where oh where in the U.S. Constitution do you find a "right" to attend a particular meeting at a particular time? This would only plausibly have a constitutional relevance if the "meeting" had some sort of public significance, like going to the ballot box to vote, attending a court hearing, presidential inauguration, etc. But even then, it's up to you to plan your trip accordingly so that you get there on time: you don't have the constitutional right to bypass a bunch of safety regulations just so you can make a timely arrival. "I'm late for my meeting, so everyone else has to suffer the probability that I might try to fly this plane into a building, or drop some sarin gas on a densely-populated urban area".
the government has no more right to block me from using a plane, than they do to stop me from drinking alcohol,
Are you sure about that? According to Wikipedia (was too lazy to research any farther than that), Minnesota state law allows local jurisdictions to "enact laws which are more strict than state liquor law, including completely prohibiting the sale, possession, and consumption of alcoholic beverages" (emphasis added). Whether any such Minnesotan jurisdictions have enacted such laws, or whether any such laws have been challenged on constitutional grounds, remains to be seen. Counties in many states, however, can and do go "dry", meaning no liquor can be sold. And the 21st Amendment clearly gives states the power to control "transportation or importation" of liquor. The constitutional "right to booze" isn't nearly as clear-cut as you imply.
or having sex with the same gender.
This was only recently recognized as being a right of "privacy", protected under the 9th Amendment and similar "privacy" Supreme Court precedents. But it has little or nothing to do with the safety regulations that apply to certain modes of travel. Other than, of course, your wishful thinking that 9th Amendment makes every individual's preference or desire automatically a "right" under the U.S. Constitution.
To be sure, the fine line between what is "public" and what is "private" is constantly under review and re-definition. But flying on airplanes is pretty far over the public/private line to the "public" side. If we had any doubts about that pre-9/11, I don't think those doubts exist any more, in the mind of anyone reasonable.