there are a couple of issues here, IMHO:
1) the C should not have a whistle on block/charge plays going to the basket. these plays should be called by the Lead...because the Lead has the best view of where the defender came from, when he got there, and if he established LGP (remember, the defender that takes the charge is not the primary-on-ball-defender...it's the defender coming over from the help-side...the Lead is the only official with a good view on this play).
When C blows the whistle, your situation is what typicalls happens: both C and L have a whistle and both stand there waiting for the other to take the call. Usually one of two things happens: you have a blarge (which we'd like to avoid - but if it happens, so what - just administer it by rule and move on) or each official looks like they don't know what to call (when really they each know what to call there just not sure who should call it). In either scenario - it's not the best outcome...
2) the half-time comments. simly turn to your 3rd partner and say: "well, looks like you and I will have to work hard in the second half, because anyone who can't tell when someone is looking at him and uses the "liar, liar, pants on fire" defense is a terrible official and shouldn't be working this game"....
that otta take care of the situation!