I'd love to know where the requirments to be a true submissive or a real dom are written. Of course you cannot command a person to change what they think. And any Dom worth his salt should be able to convice the sub to change her views through logical argument as subserviant says.
That said, the sub must support her Dom and certainly not do anything that would work against him. This may mean that a sub has to publicly change her political or religious allegiances. This is not as shockling as it may seem and happens all the time. Are we saying the there are no women out there who haven't converted to another religion in order to marry. And isn't strange how the wife of almost every politician seems to share his political views. I am sure that in many places around the world villagers or tribesmen will vote according to how their leader dictates. And please don't tell me that everybody on the Presidents staff agrees every policy, yet all will publicly support the policy.
Personally I would not ask my sub to publicly change her views but I can see the logic behind some doms insisting on it. "Every subject's duty is the king's, but every subject's soul is his own," wrote Shakespeare in Henry V. The debate between public duty and private conscience is not new and was the central topic in the book/movie a Man for All Season which describes how King Henry VIII had Sir Thomas More beheaded when he - in denying the King's right to divorce Queen Catherine and marry Anne Boleyn - refused to sign an oath proclaiming the King supreme ruler of the church. No doubt King Henry considered Sir Thomas not truly submissive to the King's will.
This thread question is not as clear cut as everybody seems to think.