Islam, like Christianity, is a proselytising religion, placing a doctrinal requirement upon its adherents to convert, or aid in converting, all of humanity to that faith.
Judaism is non-proselytising. You are either a Jew or you aren’t. Converts will be welcomed, in the main, but are not actively sought.
Historically, Islam emerged in the 7th Century CE, and as such is some 6–700 years younger than Christianity. In the 13th Century, Christianity was an aggressive, proselytising religion, entirely content to use military force to spread itself. Christians also used terror and police state tactics against adherents of other faiths as well as suspected heretics within their own ranks.
It took the Renaissance, the Reformation, the Enlightenment and Age of Reason, industrial development, revolution, universal secular education and democracy to turn Christianity into the reasonably domesticated animal it is today. (That said, the Evangelical Christians of America are more feral than domesticated.)
So Islam is still relatively young — if it was a person, it would still be headstrong and hormone-driven — and aggressive. So yes, it is dangerous in a way Judaism never was.
For the record, very few Labour party members have an issues with Judaism or Jewish ethnicity as such. The issue is with the State of Israel, its treatment of Palestinian Arabs, ethnic cleansing and wars of aggression and territorial acquisition. Zionist supporters, aided and abetted by Israeli intelligence, I imagine, are anxious to paint this as antisemitism while the country hides behind the Holocaust — a massive human tragedy turned into an excuse for violating others human rights.