Hi Tinker,
Flux has given you the "BIG PICTURE", all I can add to that is -- on thin magnets, very close tolerances are critical, so your wobble is very bad news -- this can perhaps be cured, partly, by shimming your rotor to get it to run true -- then as he stated, add another rotor on the front!!
I have built several small gens, with about the same size wire and number of turns -- I finally wound up with number 20 wire -- but 10" seems very large diameter, for such small magnets and coils though!!??
The last small mill I built, was 6" rotors, 8 magnets (total 16) and six coils of 20 gage wire of 75 turns 3/8" thick stator -- with a clearance of about .030 between the rotors and stator, wired three phase
Magnets were 1" X 1-1/4" X 1/4" thick neos and works extremely well, but as you can see -- really close tolerances !!
Don,t be discouraged though, just keep working with it and try to get that rotor as straight as possiable and build another rotor for the front -- if you can afford it, you might want to consider larger magnets with heavier coils at this point -- with 10" hubs, you could build a real power house !!
At any rate, keep building, Bill H.....