If you're using the transmitter that comes with the Blade CP, it is the CCPM mixing in the transmitter that causes the aileron and elevator servos to move with the pitch stick with the receiver from the CP.
It isn't possible to open the back of the transmitter and check the settings on the panel for the DIP switches to disable the CCPM function, as there doesn't appear to be such a panel easily available.
A non-CPPM transmitter with my CP receiver has no cross-activities between pitch and roll. (Hitec Optic 6)
Changing programming on a non-Blade transmitter, take it out of helicopter mode back to airplane.
Or, change the swash plate selection from 120 degrees to 90 degrees.
Any negative-shift (Futaba, Hitec) FM 4-channel transmitter will work your receiver in the airplane mode.