You can't have absolutely everything your way, OP. Not if you want to co-exist with a lot of other people without them getting angry and impatient with you.
You want to:
- Travel whenever you like
- Travel with large quantities of stuff
- Not have to wait for the next train
- Not have to move
- Not be pushed past
- Not have to fold your buggy
- Not have your clumsy friend have to mess around with bags/buggy
- Not have people be rude to you
That's quite a lot of things that can potentially not work out the way you want, which inevitably leads to stress all round. Travelling with a baby can be tricky. It's certainly not as easy as travelling without children. So you have to apply some basic common sense to the situation and not just plough on regardless on the basis that it's your right to do so.
Due to complicated house buying/relocation/work issues I once spent a few months commuting across London between 2 and 4 days a week. I had a walk/tube/train/bus commute to drop DS1 off, followed by another bus journey to work, and then the same in reverse. DS1 was around 18 months to 2 at the time, and I was pregnant for a fair chunk of it. The journey was planned with military precision.
DS1 went in a comfortable, adjustable sling on my back and everything else I needed went in a small hand-luggage size wheely case. We worked out which carriages were the quietest and used those, even if they were further from the exits. We didn't try to get a seat on the short tube and bus journeys, and if the train was busy I put my case against the wall and sat DS1 on it. When we got off the train I moved out of the stream of commuters before trying to retie the sling, and we waited until the crush had eased before heading up the stairs. I didn't carry anything that wasn't absolutely necessary, and I always left more time than we needed so we didn't have to squeeze onto over-full tubes. We never had a problem and everyone was nice to us.
I could, of course, have attempted the same journey with a buggy and gone shopping at lunchtime, resulting in piles of bags, and then insisted that everyone else accommodate us, no matter what. I very much doubt we would have had anything like as stress-free a journey.
Rush hour transport is full of people who don't really want to be there but have no choice. Someone clearly travelling by choice (obvious from shopping bags/child etc) is highly unlikely to elicit much sympathy, particularly if they then cause an obstruction and demand that everyone else changes the normal way of doing things to accommodate them. Insisting on the right to make no concessions/adaptations to your own life or plans very rarely leads to anything other than stress and conflict. Recognising the difficulties and tweaking your plans can make a huge difference to how smoothly your day, and that of everyone else around you, goes.