Violent clashes between Muslims and locals in the town of Sisco on the French island were initially blamed on youths taking photos of women in burkinis.
The clash, which left five people injured, got so out of hand that 100 police officers rushed to the scene to break up the fight.
One of three Muslim brothers told French television that he was having a picnic when the fight broke out.
However, other sources now claim Muslim men had spent the day attacking tourists and local youths.
On Twitter, the Front National MP said: “The Muslim attackers try to pretend that they are the victims but the truth comes out.
“It is not Islamophobia which is the cause but hostility from Islam, contrary to what certain media outlets believe or want us to think.”
hat-tip Stephen Neil