Corporations are made up of humans who form a legal entity for a purpose, in this case, to sell picture frames and nick-nacks. The owners of this particular corporation are a family. They have rights. They do not surrender those rights because they formed a business. Anyone who thinks that they did surrender those rights when they formed their family business is a moron.
Not very kindly said, Mr. Takei is an old man with a strong emotional investment in the world being the way he says it is… but he is very wrong, and possibly willfully blind to the fact that what he wants is for his beliefs to be imposed on those who disagree. To force them to act as if they agree, if he can’t force them to actually agree.