I see, hm...
In the current version, the only alternative would be to start a new game through the "Skip to..." from the main menu, where you can enter the story at a later point.
You could try that and start at the story point a little before where you currently are, although you may lose some stats and have to rewatch a few scenes.
We might add the ability to change your name anytime in a future update, but right now, I'm afraid the "Skip to..." is the only option if you want to replay as little as possible.