Strengthen Kids' Mental Health Now Act of 2022 This bill establishes several requirements to support the provision of behavioral health services under Medicaid and other programs, particularly for children. For example, the bill temporarily requires payment for pediatric mental, emotional, and behavioral health services under Medicaid to align with Medicare payments to providers. The bill provides for a 100% Federal Medical Assistance Percentage (i.e., federal matching rate) for any associated additional expenditures. The Centers for Medicare & Medicaid Services must issue guidance on how state Medicaid programs may expand the availability of telehealth services and mental, emotional, and behavioral health services. In addition, the Health Resources and Services Administration must award grants to support (1) pediatric behavioral health care integration in communities, (2) pediatric mental health and substance use disorder workforce training, and (3) the infrastructure of pediatric hospitals and rural health clinics with respect to behavioral health services.