Of course you don't have to share it. After all, as an American, you are or were entitled, if you wish(ed), to support a Ho Chi Minh years ago, an Ahmanutjob today, Osama bin Laden or his handmaiden, apologist and propagandist sockmonkey paleoPaulie. What does not compute is deluding yourself that support for any of those enemies of the USA equates to conservatism. Conservatives are patriots and not traitors in time of war and in all other times as well.
You are also entitled to believe that the sun appears to rise in the west, that the moon is made of green cheese and that the Brooklyn Bridge would be a good investment. Each such belief would make more sense than supporting the paleosurrendermonkey and calling yourself conservative.
Five star General Douglas MacArthur: "In war, there is no substitute for victory!" True then. True now. True forever.