Well, since ancapism is the logical conclusion of libertarianism, minarchism and the unicorn of 'limited government'... if one has a thirst for knowledge and debate on such issues... I'd say a majority who are honest with themselves and in a quest for truth will naturally, ultimately, end up as ancaps.
"Yes, I know and acknowledge that the State is the most easily corruptible, most inefficient and wasteful, lowest quality and miserable customer service type of institution ever known to mankind - but we *must* grant it a legal monopoly on violent coercion and all other most important aspects of our society!!!"
No offense, 'Objectivists' / Randroids? Ayn Rand weeps.