It's up for interpretation. The text in the magazine says "Gain: Fighter bonus feat list to choose monk bonus feats (at 1st, 2nd, and 6th level)"
I believe the intention is they'd need to qualify normally, but the description of a monk's bonus feat effectively says they do not need to qualify for the prerequisites of any such feats noted. Thus the interaction is since all fighter bonus feats are now monk bonus feats, no prerequisites are necessary. A DM has full power to call BS on it of course.