Imperial Valley Desert Conservation and Recreation Act This bill directs the Department of the Interior to convey to the state of California approximately 934 acres of specified public lands administered by the Bureau of Land Management (BLM) in San Diego County, upon termination of all mining claims to such lands, to be managed in accordance with the provisions of the California Wilderness Act. On the submission of an application by Imperial County, California, the Department of Transportation shall seek a conveyance from Interior of approximately 3,500 acres of BLM-administered land adjacent to the Imperial County Holtville Airport in Imperial County, California, for purposes of airport expansion. The bill establishes the Vinagre Wash Special Management Area in California to conserve, protect, and enhance its plant and wildlife values and nationally significant resources. The area shall consist of approximately 81,880 acres of certain public lands in Imperial County. Interior shall manage specified lands in the management area to preserve their character for eventual inclusion in the National Wilderness Preservation System.