If it is true that an employer would not approve of any of those views (which is not a given), then it would only be because views which limit other’s humanity are not often regarded kindly.
By saying you don’t support BLM, or that you don’t believe trans women are women, you risk suggesting that you don’t see the value in those people’s lives. Certainly in the case of BLM, which began as a movement to protect Black lives from police brutality.