0.15in is 3.8mm. Whether it will be enough extra clearance will depend on where you ride, as Lewis says. I've ridden for years with tiny clearances, between one and five millimeters, but I ride almost exclusively on clean blacktop, though the surface is potholed. I've found that the potholes are not a problem for clearance (though twice in a dozen years fishmouth punctures have caused spectacular decompressions in my ultra-low inflation regime, one of which caused a serious accident that could easily have been fatal were it not for the quick reactions of the motorists behind me) but cheap chip and seal roadworks cause nasty chattering and scraping between the tyre and the mudguard. To avoid giving up my beloved Big Apples or even scale them down*, I just don't ride on newly remade roads -- there's always a parallel lane.
*The late Kalle Kalkhoff, who developed the best of the modern Pedersens (now manufactured by Utopia-Velo in Germany, who bought the manufacturing rights), told me that he envied the 60mm Big Apples on my utility bike, but he'd have to sacrifice the mudguards on his bike, so he rode in the winter on 50mm Big Apples. In the summer he threw the mudguards off and felt no envy on 60mm Big Apples. He pointed out that a 50mm balloon already contains 50% more air than a 38mm tyre. Later I worked out why the effort was worth it for him: a 60mm tyre contains 50% more air again than a 50mm tyre. Regardless of your attitude to restrictive clearances, for comfort and roadholding your tyres should be the biggest you can usefully fit on your roads.