Out of phase pickup question

Hi,
I pulled my 71 Tele out of the closet after 20 years.
The bridge pickup had been a little weak.

I pulled the pickups and they were both Duncans.
(I remember Duncans are wound backward)

I re-used the neck pickup as it sounds great.
My new bridge pickup needless to say is out of phase in the middle position.

OK.
Specifically:

I have been told to simply reverse the neck pup leads.
This works just fine, but if I touch the pole pieces, it hums like a big dog.
I tried to work around it, but for some reason, sweat, whatever..... I always make contact with the pole pieces while playing live.
BUZZZZZZZ!

I read Duncan's wiring diagrams for reversing phase on the bridge pup.
It is not a Duncan pup, but has the exact same ground scheme.
I understand cutting the baseplate ground and reversing the bridge leads.

If I do this, will I get the same BUZZZZ! when I touch the bridge polepieces?

I just want to ask before I am disappointed and wreck the new pickup somehow anyway.

Thanks for your time with this.

Snip that baseplate ground, and then run a new ground wire just for the baseplate.

If others may be wondering what you mean ?...Like This :

http://img.photobucket.com/albums/v234/mellecaster/Wiring/changing_tele_lead_phase.jpg