Some BHPs let you just punch the little pin out and remove the disconnect easily, without taking everything apart. Later(?) ones don't let you.
You'll probably have to pull the entire trigger assembly. There's all kinds of stuff on the web about how hard it is to punch out the main trigger pin (without scarfing up your frame). BHSpringSolutions has a specially ground punch for the right/conical side (
"Removal Solution"), the side you should hit. I guess I was lucky, because I did this years ago without it, taped up the frame with electrical tape surrounding the pin, and didn't have to use much tapping force.
I found the hard part was getting the assembly *out*. That damn disconnect makes it a really complicated twist. You rotate the trigger out of the trigger guard by pulling it down out of the frame, and simultaneously rotating the tip of the trigger counter clockwise towards the top of the trigger guard, more than you think you should need to.
That's the best way I can describe it, because the video that gave me my a-ha moment has been removed. (the animated BHP disassembly one on YT just magically removes the trigger, impossibly).
Once the assembly is out, punch the little pin and remove the plunger and spring. But now that you have the trigger out, replace the 3-coil/wrap trigger spring with the older MKII 2-coil one, so that you have enough reset pressure (the magazine disconnect provided some). Get the Wolff spring here
BHP Wolff trigger springIt's a moderately complicated operation. Good luck..