Islamic hadiths contain lewd messages

Islamic Hadiths contain words of Islamic prophet Mohammad whom Muslims believe as God's last messenger on earth.

Now the question, Do you think it is a Godly prophet whose some of his words are very rude?

Here are the pieces of evidence: Click the pictures to see where I really got the real source

So Allah, the Exalted, sent down the Qur'anic verse: "Your wives are a tilth to you, so come to your tilth however you will," i.e. from in front, from behind or lying on the back. But this verse meant the place of the delivery of the child, i.e. the vagina. (Sunan Abu Dawud, Book 11, Number 2159)

"Ibn Abbas narrates that Hadhrath Umar went before the Messenger of God and said, ‘Master I am destroyed!’ The Messenger of God asked, ‘What thing has destroyed you?’ Umar replied, ‘Last night I had anal sex.’ The Messenger of God did not give a reply to Umar, then Allah sent down this revelation, ‘Your wives are as a tilth unto you; so approach your tilth when or how ye will; the words "kabool wa Dhabar" (the anus is accepted).’" (Jami Al-Tirmidhi, Bab al-Tafseer, Volume 2, p. 382, Ayat Hars)

Muslims believe that King Solomon is one of their prophets. Muhammad forgot to his research when establishing his own religion that Solomon taught this thing:

Proverbs 4:24 Put away from thee a froward mouth, and perverse lips put far from thee. 

To some Christians planning in mind to convert to Islam in the future, Will you join to a religion whose prophet has a very rude mouth?