Are you sure you’re interpreting the Times article correctly? If I’m intepreting your OP correctly, you seem to think we could have bribed the army * prior * to the war. The impression I get from the Times article is that paying the Iraqi Army * after the fall of Baghdad * is the issue in question.
Which would possibly have saved much trouble and quite a bit of money, but not the 200 billion of the title. Funds for reconstruction and occupation would still have been needed. And it would have raised many an issue of how to control that army.
Before the fall of Baghdad, it’s not like the Iraqi government was running short of cash with which to counter any attempted bribery of the armed forces (not to mention sterner methods). Remember that US troops were finding hundreds of millions of dollars essentially lying around the Baghdad suburbs in the month after the war (http://news.bbc.co.uk/2/hi/middle_east/2988455.stm).
(If you think the Iraqis could have been bought off for $200,000,000, then you’re not really giving them much credit. There are 25,000,000 Iraqis, more or less. Think they’d sell out their country for $8 each?)