Okay, first of all: haha, that's funny. But entertaining the (non-existent) possibility of this, you have some problems with your conclusions! And yes, maybe you are a freak
, but harmless freaks aren't so bad. 
It seems unlikely that the government dedicated to protecting us would reveal such a destabilizing secret to the military, never mind to the general public.
Why would it destabilize the military? They might even be more "stable" relative to the public which doesn't have the sense of duty the military does. The public? Well given that in the US, quite a few people (maybe a majority) believe aliens exist somewhere, I wouldn't be so sure about a panic either. It would depend on the nature of the contact, how word of it spreads, and (unfortunately) how badly world governments mishandle the situation (it's fairly certain that they'd screw it up somehow).
Religions would fall into disarray after news arose; afteer all, why would a god create us in his image if there are other peoples who look different? Our science and it's theories and observation would be hopelessly outdated and obsolete compared to alien science, as they would be much more advanced (if they came from another star).
Dunno if religions would really flip out as bad it people think either. Some fundamentalists might snap but they're idiots anyway. Didn't the Vatican even recently admit that extraterrestrial life would not invalidate religious belief? And they'd be right saying that - the whole point of "faith" and the compatibility of science and religion is based on the fact that science (which includes ET contact) can't prove or disprove the basic concepts of religion.
Our science and tech would be outdated? Well, yes and no. Nothing wrong with old tech if it gets the job done, especially if it's all you have to do the job. Would science be in tatters? Not at all, not by a long shot. I'd expect the excitement in science to fuel a scientific revolution never before seen -- with or without "cheating" our progress by stealing tech.
Our economy would collapse as aliens provided more efficient and vastly cheaper manufacturing techs (i.e. Molecular assembly/Replication)
So, simply put, We'd be Stuffed.
Now this is where I really have to disagree. If aliens have advanced technology such as a "replicator" that they are willing to share with us (doubtful), it would be a good thing! Sure there would be a lot of change and waves ripping through the economy, but if the government stays out of the way and lets the market adjust it'd be fine. Better technology = more productivity = less work = more free time and/or more much needed "stuff". By the logic you've used, we'd have outlawed cars because we were afraid it would put all the people running the horse and buggy industry out of work. 
So... friendly aliens? Overall a good thing! Neutral aliens... not sure but probably more a good thing. Hostile aliens, well, then it's time to panic.
Luckily for us I'd also wager that hostile aliens are probably less likely than friendly or neutral ones. What's to gain by crushing us? If they're that advanced, we don't have anything they need.
The worst somewhat likely possibility is aliens that just don't care, and consider us insignificant - then they might cause us harm just by not caring, or out of minor convenience.