Interest rate targeting uses an unemployment buffer to keep wages and therefore prices under control. Poverty for those in work is entirely part of the plan. To fix the poverty problem you need to fix the structural viewpoint and return to the Beveridge condition - everybody must have an alternative living wage job offer available to them so that job competition works properly in favour of people. There must always be more jobs available than people that want them, not slightly fewer.
But that then runs into what Kalecki called "The Political Aspects of Full Employment" - a recommended read if you haven't already: https://mronline.org/2010/05/22/political-aspects-of-full-em...
Truly a 'wicked problem' - tied up with the concept of power