I changed the transmission and engine mounts on the truck now I have a vibration in the steering wheel and can feel it in park and driving.
I would perform the same test to check for bad engine mounts, in the first place.
Place your foot on the brake, engine in gear, and give it a bit of gas. Through the gap under the [raised] hood, watch the engine to see if it jumps up > 1 inch. If it is jumping, have someone watch the engine closer (or swap positions with you) to see if you can identify the point of movement. Perhaps a mount isn't fully secured.
On the other hand, Ebay sells some extremely cheap, low quality "new" mounts, I don't doubt that some could feel even worse than well-worn OEM mounts.
Safety first, stand to the side, not in front of the vehicle when doing this.