Hello and welcome to just answer. Let me see if I can help you with this. Have you had the throttle pressure cable (aka kickdown cable) checked for proper adjustment? if there is not enough slack/freeplay in the cable then it will shift too late.
I haven't had that checked
Would that need to be done by a Dodge dealer?
Then I would do that next. If it is adjusted ok, then the problem may be a sticking governor in the transmission. I don't think you need to replace the tranmission yet. Any good reputable auto repair shop can check and adjust the cable for a minimal fee.
Okay, sounds good. :)
They are wrong in saying that your truck does not have a "kick down cable" It is also known as the "throttle pressure cable". If you want, I can send you the procedure on how to adjust it. You can then print it out and show them. Now there may be something else going on, and they may be correct, but I think checking the cable adjustment should at least be checked first. Thank you for the accept!
Ok, the kick down band (which engages 2nd gear) has become completely worn out. If you plan on keeping the truck for a few more years, then it would be worth it to have the shop rebuild or replace the transmission. Make sure they give you at least a 3 year or 36,000 mile warranty. If they cannot do this, then consider having a Mopar re manufactured transmission. They come with a 3 year 36,000 warranty.
I hope this information has been helpful, and let me know if you need more assistance with this.