The real stance gets lost in overly simplified conceptions of more or less government. The real American conservative position is to house power as close to the individual as feasible. If people can feasibly do things for themselves, they should. But like, people can't build roads as individuals, so communities do that. Communities can't build highways between cities, so states do that. States can't build interstate highways, so the federal government gets involved. Small government types are generally ok with big military because national defense is something that need be done as a national effort. Republicans both founded the EPA to manage national environmental regulations that extend beyond any individual and piss and moan when the EPA is used to regulate a moderately sized puddle on someone's property, and that isn't a contradiction.