ACR FLC AND ARTCC RADAR CTLR IN CONFLICT OVER COMPETING INTERESTS.

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ON A SCHEDULED FLT TO MCO WE WERE APPROX 20 MI N OF OMN AND DEVIATING AROUND A LOT OF WX IN THE AREA. IT WAS NECESSARY FOR US TO DEVIATE TO THE E BECAUSE OF SOME SHOWERS THAT WERE IN THE VICINITY OF OMN. ZJX TOLD US THAT WE HAVE TO TURN FURTHER S TO A HDG OF 150 DEGS TO KEEP US CLR OF AN ACTIVE WARNING AREA. WE TOLD HIM THAT WE COULD ONLY TURN TO 130 DEGS BECAUSE OF WX. THE CTLR STATED AGAIN TURN R TO 150 DEGS. THE CAPT; WHO WAS FLYING THE ACFT; TOLD ZJX THAT IF WE TURN TO 150 DEGS; THAT WILL PUT US RIGHT IN THE WX. THE CAPT TOLD HIM ALL WE CAN FLY IS A 130 DEG HDG. THE CTLR THEN SAID THAT WE WERE ABOUT TO FLY INTO AN ACTIVE WARNING AREA AND UNABLE TO COMPLY WITH AN ATC CLRNC. HE ASKED US TO STATE OUR INTENTIONS. ALSO; HE SAID HE WOULD CALL OUT ANY KNOWN TARGETS IN THE AREA. AT THIS POINT; WE WERE ABLE TO TURN FURTHER S AND ALSO KEEP CLR OF WX. WE NEVER ENTERED THE WARNING AREA EITHER. THE PROB WAS THAT WE WERE GETTING INTO A TRAP WITH THE WX AND WARNING AREA. BETTER TO FLY INTO A WARNING AREA THAN STORMS AND TURB.