I have the same issue, when connect to usb it detected as xbox 360 controller and would not connect with bluetooth.
but i have a solution.
the solution actually is really simple, what i do is press the ps button + start button at the same time when turning on the controller, on newer fake ds3 this button combination will enter pairing mode.
i tried it on my fake ds3 controller, all 4 led light flashes short and magically it detected on bluetooth as wireless controller (aka dualshock4) and i able to connect to it without any problem, no need of dshidmini or scptoolkit, when you want to connect again you just need to press the ps button once & it will connect automatically.
(ps button + triangle for pairing bluetooth) or ( ps button + start only for pairing gamepad)
so my controller is basically dualshock 4 controller in dualshock 3 shell, on steam it even detected as ps4 controller. (minus no touchpad & gyro)
i also connect it to my phone and it works...
hope it help
