You would harm the bureaucrats by firing them, though. Most people would take a pay cut going down to a basic level of income. You can see this for yourself by examining public pay tables (common salaries for individual contributors are $30-$50,000 in the US.) This is much more than any feasible BI number.
I suppose this depends on country. In Poland bulk of low level gov bureaucrats earns barely above minimum wage. Mostly young (or old) women are hired for that positions.