1. Yes. You need a longish bolt of the same diameter/thread (should be a standard M size for the kit bushings), screw it in until it touches the wood at the base of the cavity and then keep turning it slowly. As long as the body wood is hard enough, the bushing will start lifting out.
If you don't have the right size bolt (typically M8 in import stuff) you achieve the same thing by placing an ordinary flathead screw upside down (head first) into the bushing and then screwing the threaded post back in. The inserted upside down screw just needs to be shorter than the depth on the bushing, and the head small enough diameter to fit down on the M8 hole.

Is there a way of making it "less bassy" without changing the pick up?
Since your no longer going for any splitting of the coils, the PBG 500k pots will be fine.
As for the too "bassy" tone of the neck HB (one man's bassy is another man's muddy ) there is a solution.

The way I've dealt with muddy neck HB's is adding a simple high-pass filter circuit. It's just a series/parallel capacitor & resistor, like this:
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You can also do it like this before or at the switch (treat HB as though it is 2 conductor):
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You can play with the cap value to effect how much low end is cut, but the .01uf typically works fine.

I did not come up with this, so credit where credit is due, goes to Artie_Too at the SD forum.