Dietary restrictions and preferences are not anywhere near the same as wearing the symbol of extreme Islam, and the denigration and dehumanization of women. Whether a person eats pork or not - how does that affect society? Forced burka/niqab DOES affect society, it affects the women who wear it, it affects their children, it affects men and how they view/treat women, it is an affront to women and a reminder of how easily we can go back to women being second class citizens, barely human.
The essence of a democratic society is that civic participation is extended to all. Deliberately preventing an entire gender from participating in society as identifiable individuals is a slap in the face to the entire foundation of our society. The essense of the burka is that women are not recognized as individuals, not empowered to make their own decisions. The whole point of it is to impede interaction outside the home.
While authorities cannot interfere witih what people do inside their homes, the public wearing of burkas is a statement that women are unequal and must be segregated. Like a KKK march or the wearing of swastikas, it is an assault on the legal place of women in society and an intimidating statement of bigotry against them.
If radicals are prevented from making public statements about the inferiority of certain races, why should they be permitted to assert the inferiority of an entire gender?
Muslims are free to believe whatever they want but a public display that dehumanizes women as a gender by treating their faces and bodies as obscene is a violation of the norms of our society.
Islamophiles can deny it all they want, but a French study found that 77% of girls who wear the hijab do so because of threats. http://www.weeklystandard.com/article/14126
Many women who defy the burka and hijab by posting pictures of themselves without it are threatened with blackmail and violence.
The burka divides women into "good girls" and "whores" and gives rapists religious ammunition to justify their crime. In response to a gang rape, the Cheif Mufti of Australia said, "If she was in her room, in her home, in her hijab, no problem would have occurred."
The burka doesn't just isolate the woman, it also covers up abuse. In Afganistan, 87% of women report being victims of domestic abuse. http://section15.ca/features/news/2008/07/04/afghan_women/ In Pakistan, that number goes as high as 90%.
This is an especially vital issue in Western countries where spousal abuse is a serious crime, so the abuser has even MORE motivation to hide the abuse. The Muslim community is in denial about its abuse rates and the burka is one of the reasons why.
Do you still want to compare it to whether someone chooses to eat pork or not?