The British Pakistan Christian Association said the believers told the group to stop shouting and making inappropriate comments to women in the town of Samundri in Faisalabad last week.
It has since emerged that the men then returned an hour later with a mob of around 40 people armed with weapons, who then beat the family of seven. Five were admitted to hospital.
Arif Masih (one of the injured, below), said: "They said all Christians should be killed. They said we were evil demons and made Pakistan impure.
"I thought I and my family would be killed. It was very frightening."
Local police are questioning a group of men in relation to the incident and have agreed to formally record it when medical evidence of the Christians' injuries comes back to them.
They've said the severity of the injuries will determine the charges against the men.
The British Pakistani Christian Association (BPCA) said this attack is "bizarre", given that drinking alcohol is forbidden in Islam.
Wilson Chowdhry, BPCA chairman, said: "All of these acts made the Muslim perpetrators ritually impure yet they labelled the innocent Christians as ritually impure and beat them indiscriminately for the perceived evil within them.
"As a UK tax-payer I am disgusted that Britain continues to fund Pakistan through foreign aid - especially the 225 million meant for holistic educational reform.
"The national curriculum in Pakistan continues to espouse hatred towards minorities, the result of which, is a worsening social pariah status for Christians in particular and other minorities."
