STOP...your stated differential fluid IS NOT suited for your differential. The part number that you stated (#5136035ac ) which is a GL-5 is meant for other vehicles !!!
Also, the transmission fluid stated (# 68218657aa...which is NOW # 68218657AC) was NOT the OEM fluid for YOUR car. See below.
By the way, it will be easier to assist you in the future if you state the year of your Viper in your posts. By doing some fishing, I see that it is stated as 2005 SRT-10. As JonB says: "The year matters".
The OEM fluids for YOUR Viper were as follows:
DIFFERENTIAL...MOPAR "Synthetic Gear & Axle Lubricant SAE 75W-140" part number was 4874469...AND...MOPAR "Limited Slip Additive Friction Modifier" ...part number was 4318060AB. After draining differential, add only one 4 oz. bottle of the "Friction Modifier" FIRST...THEN add the other 41 oz. of the Diff Fluid mentioned above.
TRANSMISSION...MOPAR "Synthetic Manual Transmission Lubricant SAE 75W-85" ( also known as "Castrol Syntorq LT 75W/85") part number was 4874459. This is a GL-4...DO NOT use a GL-5 in a T-56 transmission !!! This fluid became the Viper Factory fill is 1999 ( after a 1998 TSB for neutral gear rattle on 1994-1998 Vipers using Dexron IIe and later Dexron III tranny fluid). Some have speculated ( and noted that Tremac alledgedly agreed per one poster) that Mopar ATF+4 COULD be used in the 2003-2006 Viper transmissions. If you choose to do so, expect a shifter that is less stiff when cold that many notice when using the OEM fluid... and possibly more neutral gear rattle (NGR).
FINAL NOTE: Many MOPAR part numbers change for the the same part or product. So, one has to check and recheck the fluids in particular to obtain the correct product. While the "MS-xxxx" numbers help, some of these have been updated as well. In my opinion, it is nearly impossible for "low-Viper-volume-dealership-parts-persons" to keep up with these changes...especially given the errors/conflicting info that persist in owner manuals, service manuals, and service CD's.