Your thermometer isn't illegal as long as it's a temporary installation. There is no requirement for a 150 to have a temperature gauge. On the Robinson helicopters, performance data, or more importantly, performance restrictions are derived from pressure altitude and outside air temperature. So, the OAT gauge is a no-go item if it's inop. A friend of mine bought one of those little digital temp probes that you just stick through the window. It's cool. Even lights up at night and has a little nub protruding to the slipstream. Slick.