I'm the opposite. I use my real name, or real enough, everywhere. It makes me think twice before hitting enter. Anything I say I'm backing up, for better or worse, with my identity. I may someday regret this decision. So far so good.
I do the same thing, I use my real name as my username on all social media sites including Reddit. I always think to myself, is this something I want permanently associated with my real identity?
It could obviously backfire. You say something that you think is fine, someone else gets offended, and they know exactly who you are. But generally, I think using your real name makes people more accountable for what they say online.
The problem with this approach is you have no idea what will become wrongthink in the future. In 2008, opposing gay marriage was a relatively mainstream idea. In 2014 someone was fired for donating to an anti-gay marriage campaign. In 2015 it might be acceptable for one to express wariness of expanding the H-1B visa program, but in 2020 will it be so?
You at least admit that it might backfire on you. I try to tell people, you don't get a choice in how people interpret what you say. If an angry mob decides to take one tweet out of context, your good intentions won't save you.