Your .capx still presented the issue for me. But I found a solution, the issue was I wasn't asking my question right. This whole time I should have been asking how to get the opposite angle for a specified angle. IE 360's opposite would be 180 degrees. This way I could feed that number into the Particle Systems angle and be set.
This awesome post answered my question with an equation.
Particle System Set Angle to (180+Player.Angle)%360
Using the Modulus Operater (%) is what does the trick.
Thank you very much for your help I really appreciate the effort you put in to finding an answer for me.