(I am assuming you have wired the output transformers for 8 ohm speakers initially.)
In the Quick-Start Guide for the JBLs, there are 3 ways illustrated to connect the amps to the speakers. The simplest would be to use the Bi-Amp connection, so that one channel drives the woofer and the other drives the tweeter. For this, you would use the interconnects as you described, with two speaker cables to each speaker (four cables total).
Each Kaiju is itself a stereo amp of 8 watts per channel, and you can use the 2-Wire connection to listen to that amp alone. Use regular RCA-to-RCA interconnects between BeePre and Kaiju. This might be useful to confirm correct operation of the amps, for example.
To use either the 2-Wire connection or the Bi-Wire connection with the full 16 watts power, you will need to re-wire the outputs to convert each amp to monobloc form. This involves re-wiring the output transformers to 4 ohms, and then connecting the outputs in series, which will result in a single 8-ohm output.