Ok, this is an engine swap, did you swap in a V8 k member or use conversion mounts, ala Schumacher?

Schumacher's mounts are two different heights and the taller of the two should be on the passenger side, which is the side you are having issues with.

If it's a factory V8 k member then look at the rubber bushing on the pass side mount and make sure it isn't collapsed.

They say there are no such thing as a stupid question.
They say there is always the exception that proves the rule.
Don't be the exception.