This isn't really much of an issue.
I installed one of these separators a while ago and have the same thing.
What is happening is over night condensation builds up on the inside walls of the engine block. When you fire it up in the morning all of that moisture willevaporate and get pulled out the pcv. This is part of the reason for having the pcv. Your new separator is catching this moisture before it gets into your combustion chamber, which would be bad for the motor in the long term.
To verify this theory empty the catch can before starting the car in the morning, then check the can for moisture when you reach your destination. As long as the engine has reached full operating temp, you should have some moisture there.
Then, with the motor still warm, empty the catch can and do some more driving. At this point you should only find oil in the catch can.
Hope that helps
jason