Chill my man.
The only thing I see a problem with registering without having your name change is, if they go back to get your transcripts from High School, there may be a mix up. Unless they don't need them, I don't see the problem in registering as your desired name, as long as you know that's the one you want, and are going to change it too in the next couple months.
I had my name changed when I was 16, and could have the F changed to a M now that I'm in Cali, and will do so shortly, I'm just lazy. So I've always had that dreaded EFFFFFFFF on my id. I've gotten weird glances, and even a couple people say "Man the dmv messed up my cousins id like this too, they suck!" ha! It happens. A buddy of mine when he was 18 and got his first ID, they actually put a F on it, he kept it for years, who cares? People are too nervous, weirded out, confused, etc to even ask anything..don't stress it. And if someone DOES ask, just simply tell them, the DMV sucks

As far as the name change in the paper, I can honestly say I read the paper every morning and have never even noticed that section to this day. And I'm sure majority of other people don't either. Don't stress yourself out bro!