engine or driveline problem

check for broken motor mount on driver's side and transmission mount.

I replaced the transmission mount and the motor mounts are good, so what else do you think it could be ?

due to being a rear wheel drive it will always torque to the right, make sure the mounts are tight, if it thumps then it sure seems like a mount problem letting the engine go that way. check for something broken as well. or not centered on mounts.

What is the easiest way to check to see if the drivers side motor mount is bad?

if it is an automatic brake torque it and if the engine jumps replace the mount being a manual, see if you can jack up that side of motor and see if mount separates.

I put my floor jack under the oil pan and neither side lifted,in fact the truck started to lift up.
Still confused.
Am I checking right or could it be something else ?

Someone told me today that it could be my upper or lower control arm bushings, but if that was the case wouldn't my steering be pulling to one side or other, which it does not. What do you think?

Yes it may be a control arm bushing . it would not pull left or righ,t but would wear a tire out have the front end checked as it may be a ball joint as well.

I did inspect the control arm bushings, but I will have the front end inspected by a professional and I will get back with you.

Looking forward to your response, It sure sound like the engine mount though, a classic problem

Thank you for helping me through this problem and I cannot have my front end checked until Friday when I get paid. I will contact you on Friday.