With the recent update we can now send push notifications to the simulator using a the following:
xcrun simctl push <device id> <app bundle id> <filename>.apns
The apns file is the json package for the push notification.
It would be great to have a visual tool to do this, and i feel that pusher would be a great place to do that. The command is a bit tedious to get the deviceId's, especially when switch which device you are targeting and the ability to choose device from a drop down of running simulators would be very convenient.