“resonated as true about Catholic teaching is the belief that non-Catholics and non-Christians could also go to heaven”: I am sorry but, I have no problem with the non-Catholic Christian part going to heaven, but if you believe non-Christians are going to heaven you are mistaken.
It may not be “Pc”, but anyone that rejects the the truth that Jesus is “the truth, the life and the way, no one comes to The Father, but by Me (Jesus)”, then they will not be forgiven by Christ on the day of Judgement!
First, it would be for Christ to decide that. I agree that the scripture says so, for our own benefit, but it is wrong to bind Christ Himself, and His infinite mercy, to a book, even His own.
Second, one comes to Christ at the moment of death whether he had believed in Him or not. That is because Christ is doing the judging, no one else. What Christ's judgement will be will depend on what the dying will do at that point. Many, we hope, if their soul was conditioned by good works of natural law, will be ready to embrace Him then.