Urs
It is not a good idea to use a Lightbridge if you are using a normal 2.4ghz Tx/Rx radio control system for your S1000. They will interfere with each other as they operate on the same frequencies. A Connex system is a better System as it operates up at 5ghz.
The Connex and the Lightbridge can operate from the main 6S battery of the S1000. They come with the correct power connectors for that.
The sdi to HDMI converters can also be powered off the main battery but you will have to make your own power cable.