What do the people of St. Antoine do when the wine spills? Curse and kick others to get as much as possible or weep with desperation or join hands and dance, a dozen together or all of the above?

The answer to your question can be found in Chapter Five of the First Book: The Wine Shop. 
The text tells us that the people of St. Antoine ultimately joined hands and danced. Here's the quote:

A shrill sound of laughter and of amused voices—voices of men, women, and children—resounded in the street while this wine game lasted. There was little roughness in the sport, and much playfulness. There was a special companionship in it, an observable inclination on the part of every one to join some other one, which led, especially among the luckier or lighter-hearted, to frolicsome embraces, drinking of healths, shaking of hands, and even joining of hands and dancing, a dozen together. 

When the wine first spilled, the people rushed to drink as much of the wine as possible. They did not weep with desperation, nor did they curse and kick others to get as much as possible. Instead, some men bent down and scooped up the wine to their mouths. Others assisted women so that they could drink of the sweet wine as well. Meanwhile, men and women came from everywhere to scoop up wine in "mutilated earthenware." Enterprising women even used handkerchiefs from their heads to soak up the wine, which they then squeezed into thirsty infant mouths.
Still others made mud-embankments to "stem the wine as it ran" and a few devoted themselves to licking the wine off the "sodden and lee-dyed pieces of the cask." In all, the spilling of the wine gave great happiness to the people of St. Antoine.