Nonsense. They don't love the "real" Jesus. They are only in love with their stunted idea of Him.
Wow. Imagine how many theological debates this could be said of - between Muslims and Christians or Christians of varying denominations. :)
They don't speak badly about Jesus, in the sense that they respect him as a prophet, but, as you say, they don't love the "real" Jesus, but only their stunted idea of Him.
My Arab Muslim friends in college are very insistent on the point that Jesus was not the Son of God (God has no son! they insist), they are very insistent on their assertion that Jesus was not crucified or resurrected (He was assumed into Heaven, according to them).
But, oddly enough, they told me that they believe Jesus will be the Judge on Judgement Day.
They are very respectful of Mary (Miriam) and her mother, who isn't mentioned by name in the Bible, but who Catholics and Muslims both know as Anne.