In fact for the 74HC165, the pinMode for the DATA pin is INPUT, and for the two other 74HC595, the pinMode for the DATA pin is OUTPUT.
In my software, I initialized the pinMode in the constructors of the classes and I never changed them after...
I tried to common the Data pin for the two 74HC595, and that's work fine.
If I want to common the Data pin withe the 74HC165, I need to change the pinMode for the DATA pin, each time...
So, I will use for my 3 Shift Registers 6 wires: it's not so bad

Thanks for your help.
