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It's actually not that difficult. If you want to jump on the wagon and start toting your qualifications in your name, you simply edit your name and put whatever you want behind it. Linkedin has absolutely no restrictions there, as long as you are not putting in any offensive words.
So should I do it or not?
It ultimately depends. Most Linkedin users are using it to showcase their qualifications and experience, and it's pretty much the only place where you can do it without looking like a major dick since people want to know what sort of degree you have. However, doing it for only a B.Sc. can come off as annoying and retarded as pretty much everybody on LinkedIn will have at least a B.Sc. In my opinion, have your qualification in your name is fine as long as you restrict it to MBA-level and above. It also depends on what kind of career you are pursuing. There's not much point in adding it if you are an entrepreneur and have absolutely no intention of becoming an employee again.
For a B.Sc., putting it in your name may come across as an attention-seeking individual who is probably more focused on titles than actually learning and being an asset to an organization. In fact, consider that this may actually adversely affect your chances of getting that job you are really interested in. You may end up dealing with a recruiter who thinks putting your degree in your name is a cry for attention. And this may cause the recruiter to think you are not a team player as your profile is basically screaming "Me! Me! Me!"
In conclusion, for only a B.Sc., it's something you should approach cautiously. However, if you have a qualification that is impression or quite rare, then putting your qualifications in your Linkedin name does work. In those latter cases, it is actually recommended to do so as it will allow recruiters to find your profile faster through a Linkedin search.