How do heavy objects rest on a table without its molecules giving way and colapsing the table?

That's a very good question. No one really knows how the atomic nucleus holds together but this is generally not the reason for objects not falling through tables. That is primarily due to the repulsion between the electrons in adjacent atoms. In highly ordered systems of long-chain molecules or crystals the electrons are fairly densely packed and mostly impenetrable. However the mechanics of this get more complicated above the molecular level.

As for your other question, as far as I know most atomic nuclei never spontaneously decay, except for the heavy elements like uranium. There are many theories why this is the case, but I don't think any have managed a definitive answer.

The energy for this bond might well be the mass of the particles themselves, since after all, e=mc^2.

Check out String Theory if you want a more comprehensive answer, but I warn you, it's a lot of very complicated math.

It si the same thing that keeps us from falling to the center of the earth, gravity is a fairly weak force when compared to the other forces (electromagnetism, stron nuclear force, and the wea nuclear force) electromagnetism is the force that keeps us from falling to the center of the Earth, the attraction of the same molecules keeps the table intact, while under pressure, think of each molecule as a magnet, it takes almost forever for a magnet to lose its magnetism, so the table will stay in one piece, unless the object is heavy enough to stress the table enough to break it into little splinters, but that is not having it break on the molecular level.

on the molecular scale its mearly the fact that the electro magnatism in the table top and legs is a stronger force than the gravity pulling down on the heavy weight. that said if you contiue to put weight on the table , eventualy it will break... but judging from your question i think you khow that and are asking for more...more i dont know[ you physics guys blow me away] anyway now that ive re-read your entire question i think its time for me to be heading back to "jokes and riddels".... i'll be checking back though... interested in seeing what you come up with.