Highly unlikely. The inherent short-sighted nature of private enterprise makes it poorly suited to space exploration. The current lack of anything worthwhile from the private sector (even given all the public resources they've been handed) bears this out. The whole 'space enterprise' thing is just a silly dream of entrepreneurs and free market ideologues.

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"I worry that, especially as the Millennium edges nearer, pseudo-science and superstition will seem year by year more tempting, the siren song of unreason more sonorous and attractive." - Carl Sagan, 1995