"Movingly" is already an adverb describing something that is deeply affecting or emotionally stirring.
To express a higher degree of emotional impact, you could use:
* Most movingly: This is the most straightforward way to express the superlative.
* More profoundly: This emphasizes a deeper level of emotional impact.
* With the greatest emotional effect: This focuses on the result of the action.
Ultimately, the best way to express a higher degree of emotional impact will depend on the specific context and the nuance you want to convey.