There are so many things wrong with that statement, I'm not even completely sure where to begin - so I'm just going to choose a random place and work my way through the issues.
Let's start with this concept - the City of Frederick, which, by all accounts, has experienced something of a Renaissance over the course of the last decade, is very family friendly. The city hosts four tattoo parlors either in, or on the edge of the Historic District - three are within a block of each other. The three within a block of each other are in a block and a half stretch that until recently has struggled to retain businesses. In the last twenty months the area has welcomed three new retail presences, two new restaurants, and a salon.
In previous discussions I have had with the director of Westminster's Department of Economic Development (when working for the Gazette), Stanley Ruchlewicz said that the hopes are that Westminster can experience the same success Frederick has experienced in revitalizing its downtown. For the record, Ruchlewicz was against this ban.
Let's take a look at the concept of "family oriented" from both a financial and a social standpoint. Sure, the tattoo parlor is not exactly the first place that most Americans are looking to bring their children, but you have to look at what a destination business does for other businesses.
Tattoos are not short work, and college age people through their mid-twenties will often go with friends to get their tattoos - the friend might not be getting one, but you often get the moral supporter along for the ride. These people spend significant time in these areas and will often spend other money at the local bars and restaurants. There's the financial, now for the social.
When I was growing up in the 1970's and 1980's there was a certain perception about people with tattoos. They were worn by the rebellious, the fringe, the dangerous. They were a warning sign telling the middle and upper-classes "beware of me, I'm the boogeyman." With everyone and their mother getting them now of days, the idea that people with tattoos are not the "family-oriented" types that Westminster wants to attract, then maybe it would be for the best that the tattooed freaks don't visit Westminster.
By the way - that dragonfly on the left is on my wife and I designed it for her.