I think that Omron needs 73mA at 5V. The DS2413 might be broken by now.
According to the datasheet, the Fujitsu/Takamisawa needs 45mA. That is still too much.
With 20mA you can drive a led or a small reed relay.
In the Adafruit source code : https://github.com/adafruit/Adafruit_DS2413/blob/master/DS2413.pde#L1
There is only one global "address" array to hold the identifier for just one sensor. You need a lot of those.
In the function "read()", that one global address is used to select it : oneWire.select ( address ) ;
You need to be able to select the chip you want. So you have to add a parameter with the address (identifier) to the "read()" function.
I have been searching for a better library. There are other libraries, but I didn't find any better ones. I suggest strongly to use the pcjr (Paul Stoffregen) OneWire library as a base : http://www.pjrc.com/teensy/td_libs_OneWire.html
The Adafruit library uses that.
I would like to know what you want to create.
Making 'click' noises can be done with piezo elements as well, it doesn't have to be relais. Or you can use solenoids, if you don't need to switch something on.
The OneWire can be long and can have many devices connected to it. It is a good choice for devices in a circle of 15 meters. A serial communication could also work.
The DS2413 can turn two leds on, that's great, but useless. You can add darlington transistors or mosfets or even an Arduino in every module. What are the allowed costs for a single module ? Do you have them made for you or are you going to make a pcb board for them ?
When you have groups of arrays, you could make a module for a group and add an Arduino to every module and use serial communication. That would simplify things a lot. However, I'm not convinced that you actually need relays.
What I'm saying here: take a step back and let's start all over again.