Okay, so, thanks to carlcs' answer I managed to solve the camel-case to lower-dash-case conversion. The other direction was a bit trickier, but again, after digging in a bit deeper I was able to figure it out myself:
First off, I'm not using the plugin any longer! Yay! The secret was to create a custom Twig filter that would convert dash-separated strings like so:
{{ 'my-first-car'|dash2camel }}
{# outputs 'myFirstCar' #}
With the help of this guide and some code from this answer I created my own custom Twig filter within Craft. Nothing fancy and hacked together quickly, but I've put it on GitHub if someone runs into the same issues.