Monetizing the debt may help to bolster the stock market in the near term, but in the long run, it causes a massive crash to the entire economy, not just the stock market. If you study history and the causes of hyperinflation, monetizing the debt is generally the last step before everything goes down the toilet.
As it stands today, every taxpayer's share of the debt is about $140,000...and that's with interest rates near zero. What do you think will happen when we return to historically normal interest rates, much less hyperinflation?
Oh well, who cares? Screw the kids...let our largess be their problem.