The wires can't be reversed unless they were cut and swapped... they have different terminations.
What switch are you describing as being 'cut'?
Have you tried pulling the clutch lever while trying to start?
what caused you to replace the starter?
'01 660 Raptor, Burgard +2+1 arms, YFZ Shocks, LSR anti-vibe, CTR pipe, jetted, K&N
'01 Polaris Scrambler 400, K&N
'02 Honda 400ex, Big Gun pipe, jetted, K&N, Lonestar +2 A-arms, Lonestar anti-vibe
'02 Honda 400ex, DiamondJ +3 A-arm widener, Lonestar anti-vibe
New Toy: '16 RZR XP4 1000 Turbo