That's my impression as well. We all know the behaviour of some Rangers fans has been unsavoury and menacing in the past, like the infamous riot at FP in 1978 because they were 2-0 down and looking at a hiding, and many other violent incidents over the years, including in Manchester after the UEFA Final in 2008.
That said, the behaviour of a section of Celtic fans seems to have deteriorated the more they have dominated the Scottish game in the last 15 years and the growth of the Green Brigade is a toxic phenomenon which shows an arrogant sense of entitlement and sense of impunity which we can see transfers to the club itself with its recent desperate attempts to justify/deny the indefensible after last Wednesday and Saturday.
Unfortunately, we're stuck with them both because to admit them to the English Premiership would be suicidal for it, even if it were possible.
Until there is a real will shown by the police, SG and Scottish football authorities to restore order, fairness and sporting integrity to our game, nothing will change. I wonder also how many of our "new" supporters will have been put off by these recent events, despite the best efforts of our manager, players and club generally?