The only thing that an attempt to "stare me down" will achieve is for me to decide NOT to get up for you/your kids, no matter what. As soon as I notice someone struggling I will offer my seat (if I can - I have a connective tissue disorder, which means that sometimes I really do want/need) the seat, but, if I feel that someone is "staring me down", but butt stays firmly planted in that seat.
I agree, basic courtesy and respect are lacking in today's "me me me" society. One of the ways in which it is displayed is when people decide to, passively-aggressivley, stare people down until they (the ones staring) get what they want.
Note - a request for the seat, would have a totally different response.