Even the name Muawiyah isn't true but a constructed one, no companion of Messenger can have a name that means “one who howls”", specially someone who was trusted with writing down Quran's verses by Messenger Peace be upon himself, this is in not in accordance with what Quran orders / advises Muslims about names.
Then how would you explain archaeological record from that era which confirms not only the existence of Muawwiyah I but also the fact that he was a ruler?
There are coins from his era explicitly in the name of the Caliph himself, with the inscription “maawia amīr-i wurrishnikān” – Muʻāwiya, Commander of the Believers :
The fact that these coins do not mention Muhammad's name has led some orientalists to speculate that Muawwiyah I could've been a Christian king .. We also have coins from Yazid bin Muawwiyah's era mentioning his full name and the year in which those coins were minted. "First Year of Yazid" ... Not Hijra !!