the bullits you purchased are for turn signals only
Maybe not.
The lights could ground through the housing. The only way to know is to test it if you don't have instructions with the bullet lights.
I use an auto battery charger set to 2 amp mode. If you touch the negative to the light housing and the positive to one of the wires, and it lights, the bullets are designed to ground through the housing via connection to the bike chassis.
Also, it isn't necessary to cut the wires to the originals as they connect to the harness inside the headlight shell and can easily be disconnected and left whole.