I am having similar issues.
If I open 3d Connexion properties, then open SketchUp, the mouse works OK at first.
When I then open Enscape, the mouse will no longer work with SKP after that, even after closing Enscape (it won't switch back to SKP).
If I open Sketchup without the properties open, it seems to get hijacked by Enscape right away.
Regardless, Enscape seems to hijack the 3d mouse away from SKP and won't give it back to use when modeling in SKP, which is a problem for using the mouse to model.