Will this bolt straight into my factory housing?

Yes. It's designed to fit into your existing 3rd brake light housing. Remove the old bulb assembly and insert the LED unit into the same cavity—no drilling or modification to the housing itself.

Do I need to tap into new wiring or can I use the factory connector?

The factory connector works. This LED unit plugs directly into your existing brake light wiring. No cutting, splicing, or relay harness needed.

Will LEDs really make my brake response faster?

LED light output is instantaneous—there's no filament warm-up time like incandescent bulbs. The visible difference is milliseconds, but it can register on following traffic and is especially noticeable at night or in poor visibility.