'god' is a religous concept. Even if it is not exclusive to a single religion, it doesn't make it secular. To me it makes no difference whether it says god, Vishnu, Thor, Allah, Satan, Jesus or Jerry Garcia.
The only way the government can keep the 'under god' in the Pledge is to make it a purely individual expression. And in that case the occasion that the Pledge is recited can not be limited to just the Pledge. Anyone can use the occasion to perform other activities that will be just as patriotic.
btw,
History of the National Motto Claiming that you have the 'facts' usually means you don't.
