Take this one from me.
The prophet Muhammad (Peace be upon him) didn't marry Aisha for a sexual purpose because such a marriage is prohibited in Islam, so the conclusion is the following:
1-Pedophiles marry, or rape children because of a sexual purpose, not to live a normal life and have children, but rather to just discharge their urges.
2.The prophet Muhammad (Peace be upon him) didn't marry Aisha because of a sexual purpose. Islam prohibit such a marriage.
3.Therefore, the prophet Muhammad was not a pedophile.