Yes, but use the wiring already there. put the 4 fixtures (flush mount) over the hex boxes of the screw base lights. Drop the wires in.
I'm really pleased with the amount of light from the LEDs. The fluorescents needed time to warm and brighten. However the LED are instant on. With the 6 fixtures in the garage it is like daylight.
As you had indicated you wish to illuminate your garage to work on the vehicles. One big one is to paint the walls with a bright colour. With this the light bounces around (indirect)light. So as you have the hood up the light bounces off the bright wall and under the hood.
I know dollars are a deciding factors but think of it this way. You will be doing this up-grade DIY and not having to hire an electrician. Saving big $. And if your going LEDs it could be your last visit to the top of a step ladder to change the bulb for the rest of your life.??? (life span of 20-30 yrs).
Oh, almost forgot electrical energy reduction.
