Do you want to make as many connections with other people as possible? If so, using your real name helps. It increases the attention that other people pay yourself. If you are smart and write insightful stuff that can mean job offers, speaking and speaking gigs.

I think the best long-term strategy would be to invent a different name and use the other name consistently, even in the real life. With everyone, except the government. Of course your family and some close friends would know your real name, but you would tell them that you prefer to be called by that other name, especially in public.

So, you have one identity, you make it famous and everyone knows you. Only when you want to get anonymous, you use your real name. And the advantage is that you have papers for it. So your employer will likely not notice. You just have to be careful never to use your real name together with your fake name.

Unless your first name is unusual, you can probably re-use your first name, which is how most people will call you anyway, so if you meet people who know your true name and people who know your fake name at the same time, the fact that you use two names will not be exposed.