No, they will not... or at least that's what I think.
While anything is possible with cryptocurrency, I don't think that the US government will consider something that's centralized as a strategic reserve asset. Maybe Ethereum since it's being considered now as decentralized, but Bitcoin is more decentralized than Ethereum, and the government wants control of it hence, they will just focus mainly on Bitcoin.
Overall, it might happen still. We don't know, but I believe the chances are low or if it happens, it will take years or even decades to happen.