Am I able to connect the 3 wires into 1 wire butt connector and then lead just one cable from the other end to the power source. I was thinking of using a plug in fuse with the wire for the power to the gauges. I am pretty sure that using this method of putting the 3 cables into the butt connector and then leading one cable to ground will work fine but not sure if that is going to work for the power.

 

You'll be fine