What you guys are experiencing after a long sitting is somewhat normal. The fluid in the torque converter can drain down back into the pan if given enough time. Technically, the check valve in the cooler line should maintain a full converter while sitting for an extended time, but some do not hold very well. Sometimes they are even stuck open with a little debris from a failing transmission, and if enough debris runs through or up to this check valve, the valve itself is enough of a restriction to create a blockage with the debris that cannot pass.
I wouldn't worry too much about the delay problem unless your trans fluid smells burnt. These check valves are not that reliable in their function anyway.
Another interesting tidbit about these Dodge automatics is that there is no torque converter charge/cooler flow when sitting in park. When you have the shifter in neutral or any other gear, there is converter charge and cooler flow. If you look at most dipsticks and owner's manuals for Dodges, it states to check fluid level in neutral, not park because of this. For you guys that have tried starting in neutral first, you are actually giving some time for the fluid to immediately start filling the converter back up, and thus no delay when pulling away. Most aftermarket valve bodies and shift kits have or provide instructions to cross-drill a passage in the valve body casting in order to provide converter charge/cooler flow in park.
The way you can check for converter drainback is to note your dipstick reading with the engine off for about 5 to 10 minutes after at least putting the trans into gear. Then wait the amount of time that your truck has to sit for your typical delayed engagement, and then check the trans dipstick again before starting the engine. If you have converter drainback, the reading will be much higher than it was before.