Here's what you do.  1st level, you take Stealthy as your regular feat, and Weapon Focus/Greataxe as your fighter feat.  
In 3.5, halfling thrown weapons do an insignificant amount of damage, so don't bother.  Oh, sure, if your DM lets you use some of the prestige classes from Complete Warrior, you will suck less, but you'll still be doing a d3 damage.  Wheee.  However, a halfling fighter still does a d10 with a greataxe and, since your'e going to put AT LEAST a 16 (converted to 14) on Strength, that gives 1d10+3 damage, which is nothing to sneeze at.
The halfling's natural abilities, the Stealthy feat, ranks in Hide and Move Silently (if you can afford them -- a high Int is good for this build, if you can swing it), plus the studded leather or chain shirt you are wearing means that YOU choose who you will fight.  Trust me on this -- I've played in an all-halfling party before and, if you don't want to fight someone, you generally don't have to.
Better yet, especially since you're a halfling, take your 1st level as a rogue, then go on with fighter.  That way your 1st level feat can be Improved Initiative, instead.  Not to mention the +1d6 sneak attack that you're going to get more often than most characters.  Not huge, but it helps make your great axe even more disgusting than it already is.  
