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Oh that's simple: Could be wiring, battery, starter, starter solenoid, ignition switch, or starter button.
Try supplying power directly off the starter solenoid to the coil and use a remote starter switch to engage the starter.
Seriously, you need to get a meter and check all the functions of the ignition switch. Your engine should turn over when you push the starter button - whether th eignition switch is good or not - if you are wired correctly.