As soon as practicable, a court or an administrative hearing officer in an Expedited Child Support System may, and upon the request of a party except as provided in Section 610 of this Act, or of the child, shall order or direct the mother, child, and alleged father to submit to deoxyribonucleic acid (DNA) testing to determine inherited characteristics. If any party refuses to submit to genetic testing, the court may resolve the question of paternity against that party or enforce its order if the rights of others and the interests of justice so require.