How should someone handle a disrespectful PFC (as a SPC)?

Well as a SPC I would bring it up to your team leader or if you're a team leader, your squad leader, and try to keep it at the lowest level possible. Address the issue at that level and let the private know his place.

In the 80's I was a SPC squad leader. I even had a SGT assigned as assistant squad leader (he was new to MOS, and very inexperienced) I never had this problem with my squad. I respected them, and they me, although one outranked me, and several were the same rank. I guess my point is, it's how you handle yourself, and treat others. I was in charge. I was proud I earned the position, but even more proud of how I handled all my squad member's problems and shortcomings. Side note: they didn't have Cpls in engineer units.. until one fine day an inspecting General told my CO to make me a Corporal, or have me step down as a squad leader. proud to say I was the only Corporal in the battalion for a while.

He is still a Private.....Teach him

Either you're a super shitty SPC who should be busted down anyway, or you're too much of a pussy to beat the piss outta this boot. Either way it falls on you.

Oh well damn, go thru your chain of command, theirs no need for that

Up, down run in place ... some of these soldiers are fixable with out leaving a trail of paperwork

My response is not the greatest as I only had this issue once and that soldier is now one of my best friends. I got tired of it and was like look man if you got an issue with me you can tell me an nco or we can handle this after work. ( this is not an acceptable way of handling things in the military ) He choose option three and needless to say he's a good friend now not because of the way it was handled I think but because afterwards he said his part on what his issue was. I guess morale of the story is have you asked this PFC if he has some sort of problem with you or just being obnoxious in general?

I don't know why your PFC's haven't already checked this idiot. No dill rod is going to disrespect one of my NCO's without my foot in his ass. So far your subordinates have failed you.

Uniform code of military Justice allows that for all ranking members of the military be careful in your wording and be sure to get what evidence you need

I would write him up as a superior you have the ability to put paperwork on any subordinate that been out of line