Ballast or no ballast?
Well both HIDs and LED's require a ballast. A ballast simply regulates the current through the light.
HID's's require High voltage (170 VAC) to operate as well as a very high voltage to start the arc. These voltages are lethal. That 35 watt ballast can kill you. So be careful. Not only that but the arc tube is a bomb waiting to go off. The pressure in the tube is about 450 psi. If any water gets into the housing it will be a mess. The ballast is a boost regulator that creates the high voltage AC the arc tube requires and it controls the current so that the brightness will be at a constant level.
LED's require Low voltage (3 VDC) So that little box between the bulb and the connector is the Ballast. the Ballast is a buck regulator. It drops the 14 volts (9 to 40 volts) down to 3 volts using a FET(switch) and an Inductor (aka ballast) the circuit precisely controls the current through the LED. By keeping the current constant you end up with a light that has the same brightness even if you change the voltage from 9 to 40 volts. However the regulator stops working if you drop the voltage below 9 volts. If you swing the voltage from about 9 to about 4 volts the LED will DIM. Somewhere below 4 volts the led will turn off. These buck regulators are very efficient (95%) today so very little power is lost so they do not get hot. LEDs are electrically safe.
Both LED's and HID's up close will damage your eyes. Be careful.
Both HID's and LED's use switching power supplies for the ballast. These devices create Radio Frequency noise. They are capable of interfering with any type of communication device that you may be using. Cell phone, blue tooth, FRS, CB, Ham radios, AM / FM Radios... Now the "good" lights will have enough filtering to minimize this but there are some that may cause problems and you will not know why your communications gear is not working.... the easy way to detect this is use a AM radio and tune it to no radio station where you only hear noise / hiss. Now turn on and off your lights. If you hear a loud tone (HID) or total silence (LED) there is a problem. If there is a slight change you are most likely OK.