There is a differnece between money from a Mechallel Shabbat and a Thief.
I think we can agree that someone who is a Mechallel Shabbat can be a good person otherwise with good Midot, Just not religous for whatever reason (Maybe they werent brought up that way) . However being a Thief or money obtained via other ill gotten methods (LIke Drugs laundering) has Bad middot attached to them
A Mechallel Shabbat who gives Tzdekah is more of a Tinok Shenihba than a thief of Drug dealer