In accordance with at least selected embodiments, novel or improved separator membranes, separators, batteries including such separators, methods of making such membranes and/or separators, and/or methods of using such membranes and/or separators are disclosed or provided. In accordance with at least certain embodiments, an ionized radiation treated microporous polyolefin, polyethylene (PE), copolymer, and/or polymer blend (e.g., a copolymer or blend comprising PE and another polymer, such as polypropylene (PP)) battery separator for a secondary or rechargeable lithium battery and/or a method of making an ionized radiation treated microporous battery separator is disclosed. The ionized radiation treatment may provide a microporous membrane or battery separator having a lower onset temperature of thermal shutdown, an extended thermal shutdown window, physical, dimensional, and/or mechanical integrity maintained at higher temperatures, improved battery safety performance in a rechargeable lithium battery, a treated polyethylene separator membrane with the high temperature performance of a polypropylene membrane or separator membrane, or polypropylene-based trilayer product (by way of example only, a trilayer membrane made of two polypropylene layers with a polyethylene layer in between), reduced thermal shrinkage resulting in both improved thermal stability and high temperature physical integrity, which maintains the separation of cathode and anode in a battery system and avoids thermal runaway in a rechargeable or secondary lithium battery, and/or combinations thereof.