Here are some alternative CPI charts worth viewing: http://www.shadowstats.com/alternate_data/inflation-charts
It seems unlikely to me that the US has really had >7% yearly inflation for well over a decade. So what gives? The most compelling counterargument is simply that the charts in your link don't reflect reality.
http://voxrationalis.wordpress.com/2011/05/15/the-absurdity-...
Also MIT collects a large amount of data using online prices to determine inflation rates http://bpp.mit.edu/usa/
So the inflation calculations might indeed be inaccurate but there isn't much solid data to back it up.
I personally find it better to focus on issues that have lots of data such as the debt crisis [1], the growing costs of SS and medicare and the harmful effects of industry/government collusion [2] which are all very real and can be proven.
[1] http://www.amazon.com/Endgame-Debt-Supercycle-Changes-Everyt...