My friend has a Paradigm system (100's, ADP surrounds, and their big center...CC370 I think?). I also had an Axiom system in my home for a trial (M60's, QS8's, & VP150).
I won't go into much detail. Both are fantastic systems and I found they have some trade offs. For example, I prefer the CC370 over the VP150 yet I prefer the QS8 surrounds over the Paradigm ADP surrounds. To be brief, it really comes down to value.
Considering the price you pay to get into a Paradigm reference system, Axioms are a much better value, IMO. It's basically the scale if diminishing returns. You pay double for a Paradigm reference system but you certainly don't get double the performance......or anywhere near that.
If it were me, I would go with the Axioms and use the money you would have to spend for Paradigm reference and get some new toys.....a projector, DVD player...whatever.