That a man called Jesus existed that roamed in Palestine and that claimed to be a Messiah is actually not a stretch at all. That he garnered disciples is also not a stretch.
In the 20th century there was a similar type of fellow. Charles Manson was not allowed to testify in front of a jury for fear that he would unduly influence the jury members. If you have ever watched an uncut interview with the man (where Manson hasn't been doped up with tranquilizers), you'll notice he's very convincing, charismatic, crazy but also has a coherent original philosophy even though he is a lay person. He has claimed to be Jesus (sometimes) but more a human incarnation of Abraxis. To this day he still receives thousands of letters a year from followers and admirers.