... ya ... here's hoping it don't. 'cuz my setup is looking similar. Consider rotating the 4 lights off one at a time during the 18/6... and the first part of the 12/12. gonna be real tempting to use all four during the final few weeks of flowering though.
but hell, in the wintertime i run two 1500w space heaters almost non-stop when the temps get low enough. i'd say go for it, and conserve electricity in other ways if possible.
(EDIT) and make sure you opt for 'euro' air cooled reflectors or you will have a major hard time keeping the room cool. A 15,000 btu can combat maybe one 1000w HPS effectively... but vent that shite outside to outside so you're not making the lights and the a.c. fight it out.