No, that's not gonna be happen. We all know that government was categorize in centralization system while Bitcoin was categorize in decentralization were obviously the government can't able to control bitcoin because of this wonderful and great features of bitcoin.
If you are not believing consider the fact that bitcoin is a decentralized system that has been establishing its own name all over the globe that as they say may have the possibility that it may replace fiat which is undoubtedly be happened, but the thing is governments will never allow a decentralized sstm may rule over them and their signature curreny if government cannot hold in the fact that ut may be greater than fiat they might do some action that may lead to governments to stop bitcoin.