Pretty sure the visor has a permissive switch for the vanity light. At least mine does. When it rotates down two contacts rotate into place completing the circuit. It may be different on certain vehicles and visors.

ETA: Plus, isn't there another switch inside the visor for the mirror cover? I think the connector is required. I only reviewed the thread briefly since I last posted so I apologize if I'm covering treaded ground.

I never got around to replacing mine, by the way.

ETA2: Never mind. All they have to have done from an electrical standpoint is to put the internal mirror cover switch in series with the two contacts so no connector would be required. Yeah, so make sure you order the right one.

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8/2011 X5 xDrive35d Sport, Black Sapphire Metallic, Black Nevada Leather, Fine Burr Walnut Trim
2/2001 M5, Jet Black, Exclusive Complete Black Walk Nappa Point Heritage Leather, Black Cubic Trim