Wow, this thread has opened my eyes 
I fully understand that some people may not LIKE my tattoos, that they think they look grubby or dirty and are of the opinion that I've ruined my skin. Do you know what? I'm perfectly ok with that, I'm not offended in any way. It would be a sad world if we all liked the same things right?
I'm even ok (to a degree) with the people who admit to judging - I'm not going to judge you for it, that's your prerogative.
Did I know this would happen before I had them done? Of course I did - but that doesn't make it ok for you to do it - is it ok to tell a girl who gets verbally harassed by a man as she walks down the street that "she should have known that would happen when she put on that short skirt this morning?"
As posters up thread have said, it's perfectly ok to tell your DCs that you personally don't like them and don't want them to have them, your house your rules, if your DCs decide to get them anyway that's for them to deal with the consequences, they know how you feel!
But here lies the crux of the problem.
If you keep telling your DCs that they won't get good jobs and giving them the message that having tattoos somehow makes a person less worthy, they will grow up with that belief, and they will be the next generation of employers judging that people are not worthy to do a particular job because they have tattoos.
And so the cycle continues.
We should be bringing our children up to be accepting that people have different likes and dislikes, but as long as these are within the bounds of the law and not hurting anyone (and tattoos most certainly do not affect anyone other than the bearer!) then a persons likes or dislikes does not make them any more or less worthy as a person.
I know that people will judge me, but I struggle to get my head around WHY.... on what basis do people reach the conclusion that by having tattoos I am somehow "lesser" than them? That I make bad judgements, or I'm not capable of doing a particular job or worthy of being employed?
So I go back to my original question from right up near the top of the thread, which no one seems to have been able to answer yet.....
Why can't I do that job or be employed by you?
What is it about me as a person you think my tattoos tell you?