There is a problem in your question.
The logical failure of the question relates to the point of communication.
If we desire to have no communication with anyone, or need for interaction, then what they think or do not think about us is irrelevant.
Once we desire communication, we take on the need to be viewed in various ways. Any communication puts forward ideas, concepts, propositions and desires a response. This process demands and desires the ideas etc are viewed in a particular way, and in the normal means, assumes a common understanding of concepts culture and context. So we are always limited to the ability of the listener to see us approximately in the way we desire.
The real question is probably slightly different. If I put forward an idea, will I compromise my principles and standing for the sake of another because of the conflict and problems that will arise. And the answer to this question actually comes with experience and knowledge of likely outcomes.
Jesus faced with Pontius Pilate
Jesus answered, "You are right in saying I am a king. In fact, for this reason I was born, and for this I came into the world, to testify to the truth. Everyone on the side of truth listens to me."
"What is truth?" Pilate asked.
Jesus did not answer such questions, because there was no point. The outcome would be the same, and Pilate would still sentence him to death.
Some believers when faced with a nutcase who demands if they are believers, deny their faith to save their lives, rather than just admit the truth, and face the reality these guys are nuts and murderers and will do evil no matter what, standing for the truth and love is more important than letting evil intimidate others.