I think he would have embraced the homosexuals. Jesus embraced the prostitutes, the adulteress, the tax collectors, but unlike Francis, He said to go and sin no more.
I seriously doubt He’d have anything to do with homos. If He did, it would have been documented.
Prostitution is sinful, but it does not violate God’s natural law. Jesus did not embrace prostitution rather individuals who repented from prostitution. There is no acceptance of homosexuality anywhere in the Bible.