Hey, I wonder if that'd work
Have the NHS- and the private "proper" medical establishment, and have the homeopathic bunch. But have them work entirely separately- and you can only sign up to ONE.
No NHS or private healthcare for you if you go homeopathic, no homeopathic if you choose NHS/private.

Of course, homeopathic remedies are permitted as soon as they can pass very basic tests of better-than-placebo positive effects and no / limited / pleasent side effects.
( uberdeity Wondered why Owen Lars knew of the term "hell" on, Thu 19 Feb 2009, 14:46, 2 replies)

Private companies can do what they want
But don't waste taxpayers money on snake oil.
( willenium Fist bump for verification, Thu 19 Feb 2009, 14:47, closed)

Alternative name
There's a name for alternative interventions that have passed these tests. They're called "medicine".
( Amish Information Systems hates misplaced, commas, Thu 19 Feb 2009, 14:53, closed)