There’s much more than that a pattern of systemic discrimination against Muslims in the Western world that resembles anti-Semitic conspiracy theories before the Nazi time. It’s very scary.
It’s perfectly fine to be critical of all religions. What’s not fine of course is violence from any side. However, this „religion of peace“ comment is just a very common dogwhistle used by the far right to imply that being a Muslim makes you a violent and dangerous person per se.