What do you mean "bring"? The UK already has a lot of censorship. The BBFC has been censoring media for quite some while.
The BBFC's job is classification, not censorship. It has no power to ban material or demand cuts in any material. It can withhold certification, but certification is only withheld where it's considered the material in question would breach the criminal law, usually the Obscene Publications Act.
It's worth noting that over the past 10-15 years the BBFC has trended towards permissiveness, granting certification to previously 'banned' films, often attracting the ire of politicians in the process and effectively pushing the boundaries of what can be considered (legally) obscene material.
It's also introduced the principle that artistic merit can be an overriding factor, such as a few years back when the German film Taxi Zum Klo was granted a certificate enabling it's broadcast on television, despite it containing a scene featuring actual urolagnia between two gay men.
Censorship is enshrined in law thanks to the likes of the Obscene Publications Act so any criticism should be directed at our politicians, not at a body which has no choice but to work with the law presented to it and which tries to be as liberal as possible within that law.