The OK requirements may not be applicable in other States, but more than likely your new State will find out about it if you apply for a new license. The States share this type of information all the time. And if you apply for a California or NY license, you will probably need to make a disclosure about the OK arrest.
I suspect that Cal will not issue a license to you until your license issues in OK are resolved.
Call the DMV (anonymously) to find out for sure.
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