I think the main problem of debates of this kind is the difference in knowledge of participants about the subject of the debate. Therefore for a fruitful debate it would be very good for everyone to start with some some basic, agreed understanding of the Big Bang theory. A very good starting point is the link to the Yale course that was posted by Clearsky and others here several times.If you assume both that the solar system has existed for over 4 billion years, and that the space expands between these objects, they would surely be a lot further apart than they are today, given the calculations made concerning size and age of the visible universe
To give a basic answer to your question: Space expands extremely slow. Its scale factor increases at the moment by 2 x 10^-18 per second. That's 6 x 10^-5 in a million years. The influence of the gravitational forces in the solar system is way bigger. Therefore you can't see an expansion of the solar system. The only object where you can directly observe space expansion is a photon, a light particle. It grows bigger over time and therefore it's wave length increases. Billion years old photons that we receive from far away galaxies are expanded, and this is a measurable effect.
I hope this helps. You can find a good explanation of space expansion on Wikipedia: http://en.wikipedia.org/wiki/Metric_expansion_of_space
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