What to do with the wiring in the stator: you can leave it as-is, or you can cut it out and put in wire that better suits your needs.  What will you do with the conversion, when it is a generator?  Windmill / water turbine / excercise bike?  Choose voltage of the battery system that it will charge, or maybe you want to heat water directly, in which case voltage should be very high?

I just finished a 1hp conversion with windings like yours.
The way these motors with just 6 coils are wound, is one outside coil is tied in series to the inside coil next to it.
There should be 6 wires in the connection box, if not, then there will be a star point inside. Break the star point and add three leads out to the connection box.
Ohm the leads out and you will find the pairs of coils.
Rectify each pair of leads and parallel the rectifiers outputs. This will keep the voltage lower and amps up.
On the motor I did, the outside coils had more turns than the inside coils, but since they were connected one outside to one inside the pairs all ohmed out the same.
Your mag span should be one slot shorter than the coil center and this should give you enough room for the 4 poles of mags with clearance of the coil legs.
Your mag skew will be at a different angle than the rotor skew but stay in the same direction as this aids the flux path.

Happy motoring   : )