This battle was really ... interesting.
First I took my chance and attacked his ( unpromoted ) chariot with mine - because that bastard could became dangerous for my little group of axemans produced from capital without spearman to cover them. 50% odds ... and I won.
After this sacrificed an axeman into his main "pillaging-group" ... but I noticed that his shock-axeman remain at only 0,5 health so ... I decided for an aggresive approach and attacked with two axemans which both won at ~30-35% odds !
Inspired by such victories I put my medic-spearman at risk and launched a spearman on spearman ( 50% odds ) attack ... and won again !

After this my defending archer mop-up his wounded axeman ... to complete a really gooood battle and punishment for the pillage of my village !
The only problem may be that now - considering the "
compensatory-hazard" mechanism of Civ4-combat - he may take his chance into an attempt against my Jewish-Holy-city in North !
If no ... I plan to move my victorious axemans there and ( together with one or two rushed-catapults ) to try to counter his advance in the area. Or maybe he will propose peace this turn ...