The kind of distortion MDS is talking about is audible. Basically, if you put on some music that has a fairly constant level of loudness, you can slowly turn up the volume control, and as soon as you hear any distortion, turn it down a little until you don't hear any. That will be the maximum volume your system can safely play (but it won't tell you whether this volume is limited by the speakers or the amplifier). Also, this does NOT mean that you will always be safe with the volume control turned to that point; if you put on a CD that is recorded at a higher level than the one you used for this experiment, then that would be like turning up the volume. Additionally, depending on your system and the room you are in and how close you are to the speakers, this may be too loud for your ears and might cause hearing loss. In my case, with my system, it gets too loud for me to like it before I hear any distortion, so I have no idea how loud it can safely play (safely, that is, for it).
The reason why clipping tends to destroy tweeters is this: When an amplifier clips, the harmonic distortion increases. Much of the added distortion is higher frequency than the source material, and so the amplifier is putting out much more power to the high frequencies. This can put too much power to the tweeter, and destroy it. It is excessive power that destroys. Your speakers don't care if the original source is good, bad, or indifferent music, with or without distortion. It is the total power (and its duration) that goes to the speaker that determines whether it is destroyed or not.