First, what ignition system are you using, Dennis? The stock points and coils draw about 2.5 amps at low RPMs and decrease to about 1.5 amps at high RPMs, due to the inductance of the coils.
In normal conditions with a charging system, the running voltage is more like 14.5V.
A lithium battery has a higher initial voltage than a lead acid, but under load it will still be less than 14.5, and, as Matt stated, when they go dead it's all at once, like dropping from 12V to 8V within seconds.
Beware of "amp hour equivalent" ratings given to lithium batteries, as it refers more to starting power than steady drain. Even with lead acid, amp/hr ratings have a time associated, as in 10 amp hrs at a 10 hour rate. This means you can draw 1 amp for 10 hours, but it doesn't mean you can draw 10 amps for 1 hour; it will be less than 1 hour due to the Peukurt (sp?) effect of the battery in question.
I would look for a battery with a nominal voltage of 14V. My first LiFe battery came from member Kayaker, and was 4 A123 cells in series that he assembled: 5 cells in series would be a nominal 14V.