Dear Babisgr, great stuff! Many thanks for Your response and insight. I have come to a same conclusions as You did, and I am with pretty much the same level of experience 
I presume You have a real time monitoring with DC motor and encoder? Sound like something I would rather go to than stepper if so. My idea was to code LCD to show step positions, but to try and write a sketch that would calculate and output mm values absed on step to mm equation. So in fact, I would fake feedback. It would not be real feedback, but if result would be precise, should work. I do not know in this point in time if this even possible, but that's an idea I had in my head if I went with stepper. Still deciding on the motor...
I could have some questions for You in some stage, if You would not mind?
Dave and R, sorry, my intentions were not to withold any information, english is not my language and I try to write as little as possible to avoid confusions and mess.
I thought a lot about a problem with locking a length stop, and I thought about simple worm gear. How do You guys feel about that?
The force that will kick in a stop plate is not very heavy, I can only assume as there is hand pushing the material involved, but material is flexible and the force applied to a stop will not be linear, it will brake in another direction after hitting the stop. Also, the stop plate will be on a carriage that has no play in any other direction than in itended one, so I think we speak about 10 - 15 kg of kick to a plate for a fraction of a moment.
If my reasoning is correct, worm gear will alow motor to rotate the belt when positioning, but it will not allow stepper shaft to move when kick to a plate happens. So this should solve this issue on a motor shaft - worm gear will drive the pulley.
Then there is a belt flexibility, if it will move and stretch in case of a hit resulting in stop plate to move some distance despite the motor being locked. Think I could maybe solve this on a plate itself, via allowing plate to move, but on a tensioned spring mechanism that would kick it back in place right after the hit. It should absorb the hit, and I could create an adjustable tension to fine tune it when in place and after some tests. Material I push and which hits the plate is flexible up to some point, so it should work, in my head at least. 
Also, I think Nema 23 is an optimum sized motor in regards to keeping the project under reasonable investment, as in this moment I really cannot tell if there will be a sucess or all components will be thrown in a box after.
I know I may have went a little light on components, but in my head, it's easier for me to create a solid motor stand and fixate a shaft on the open side as well, and do the same thing for the pulleys, make them stronger mechanically. Belt is 9mm wide, it's the only one I could find in 20m length that would not cost me a kidney. 20 teeth pulley should give me a good precision and keep torque request low, as Nema 23 will let me start with 24V power supply. As stop plate will be driven on bearings, I think there is no need to go higher in motor strength. And as I said, I consider this as a proof of concept, not a heavy duty industrial solution.
Dave, my idea of belt installation and usage is exactly like in Your second picture, I have ordered exactly the same belt plates, and the metal chunk where plate is screwed into, would in this example be my carriage on bearings with a aluminium plate on one end, that would act as a "stop".