Yes you should sign it thanks to California Labor Code § 2870. Generally, California protects people like you pursuant to such provision. Under § 2870, an invention developed entirely on an employee’s own free time without the use of the employer’s equipment, supplies, facilities, or trade secret information may not be claimed as company’s property unless they relate to the employer’s business. Based on the few facts provided in your question, it appears your employer has no claim to your invention if it is truly “non-competitive” against your current employer.
An invention disclosure clause covering outside inventions must not be too broad as that could potentially nullify the agreement. The language from your agreement may be determined to be overly broad, but an attorney who is aware of all the facts would be the best to make that assessment.
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