Well, the camera shouldn't have much effect on the fuse, it's not a USB device, so the only fuse that could fire would be the overall current consumption. BUT, I wouldn't expect the Pi + camera to pull > 750mA at 5v.
Make sure all the connectors are the correct way round, remove all USB devices except keyboard, and try again. I presume you didn't even get to the login prompt?
Or are you talking about a webcam, rather than the Raspi Foundation camera board? In which case, you will be better off with a powered hub.
Principal Software Engineer at Raspberry Pi (Trading) Ltd.
Please direct all questions to the forum, I do not do support via PM.