No soon bacause small number of peoples use Bitcoin or some criptocurrencies,when large number peoples use bitcoin I think many countries will created tax system,for now tax on Bitcoin don't exis .
Bitcoin cannot kill income tax because it's not possible as the government is very powerful, they will control everything so their power will remain and we know that tax is the lifeblood of the country so it's impossible it will be eliminated, tax is already implemented even in the early stage of this world.