No it isn't normal. It also isn't common. Gun homicides don't even crack the top 10 causes of death in America, yet the BBC chooses to devote a disproportionate amount of their US front page to it. They certainly front-page shootings more than heart disease, that's the definition of bias.

Right or wrong, noble intentions or not, it's not an accurate portrayal of America as a whole on the part of the BBC. If CNN ran a front page column every time someone in the UK died of alcohol poisoning, would you consider that unbiased coverage of the UK?