Point by point…
Christianity teaches deference to worldly authority on nonspiritual matters (“give unto Caesar…”).
Libertarianism holds that the individual should not be subjugated to the desires of the state.
Christianity teaches that one sins by act, word, deed, thought, or omission.
Libertarianism holds that all acts are morally permissible except those which involve coercion or the use of force against another.
Christianity teaches meekness, humility, and the weakness of man in the face of temptation.
Libertarianism holds that man should be proud, triumphant, self-confident, and strong.
Christianity teaches its followers to admire sacrifice.
Libertarianism holds that the most admirable quality of man is success and accomplishment.
Christianity teaches that you are your brother’s keeper.
Libertarianism holds that we are all individuals who should feel no shame in pursuing our own interests.
Christianity teaches that men are sheep.
Libertarianism teaches that men are creators, innovators, and leaders who should determine the outcome of their own lives.
In short, Christianity embodies collectivism, altruism, and obedience.
Libertarianism embodies individualism, self-determination, self-interest, liberty and freedom.
In Mere Christianity, CS Lewis extrapolates from the basic tenets of Christianity what a Christian society would look like, admitting in the end that it looks very much like socialism. Libertarianism is diametrically opposed to socialism and all its authoritarian ideological brethren.
So how in the world could anybody be both a libertarian and a Christian??