There’s no direct integration possible.
However, since both systems can work with a Hue bridge, and the Hue bridge will accept connection from both systems at the same time, you can use the hue bridge as a “man in the middle” proxy system. So one system can turn on a Hue bulb through the bridge, and then the other system can see that Bulb come on and react to that event. So it’s kludgy and there may be additional lag, but It’s a possibility.
Other than that, though, the two systems do not work together.
The ADT integration using the new smartthings/ADT security panel is an official integration between the two companies and limited to that specific model line.