I’m not sure what a belt wheel is. Can you show us pictures?
Looks like the water pump pulley. Is that an aftermarket electric fan? Any way to mount the fan on the front side of the radiator?
You can't just shift the pump pulley back because the belt won't be aligned with the other pulleys.
We need more ifo on why you remounted the skid plate and why the transmission needed to be shifted. The front engine mounts are also affected.
I'm not familiar with you rubber transmission mount, but is there any way it was removed and reinstalled backwards? I'm not sure it's even possible or if it makes a difference but they look offset.
Does it look like this?
View attachment 123875