What is your source that the TSA was involved in the spread of measles? I went through security yesterday and was never touched by a TSA person. Walk through the metal detector, and off I go. Most people who are screened have no contact with the TSA other than they touch your ID and boarding pass.
It's nice to blame the TSA for everything, but it's a bit over the top to assume they are spreading a virus so far there is no indication of an outbreak at all (granted it's still too early to know, but considering most people in the US have either had it or were vaccinated against it, there's little chance of an outbreak).
Measles is not spread through skin contact, you can't get it because somebody touches an infected person and touches the next person. It is transmitted through droplets from the nose, throat and mouth, and they can stay in a room for hours after the person coughs or sneezes. If there is an outbreak, it's far more likely it was to those sitting around them at the gate or on the plane when they coughed or sneezed then it was from the TSA screening.