So all the site needs to do is help the engineers understand the benefits of not dressing shittily. It's like doing unit testing or adopting a new framework. Once they dig themselves into the learning curve and begin to see real-world changes they'll become lifelong converts.
(edit) .....Or not, in which case all they lose is the same amount of time they'd invest in unit testing or a new framework. But definitely the site needs to do something to convince the engineers.