I feel that if a mother wants to bring her baby to shul then she is entitled to.
However, if the baby becomes disruptive then it is the mother’s chiyuv to take the baby out of shul
Nobody is “entitled” to do anything, much less something that might disrupt and prevent others from davening. People who feel a sense of entitlement, rarely see their own actions as being disruptive to others. Would you feel the same way, if say that same mother felt entitled to bring her baby to the White House and the baby began squalling during a Presidential conference, where you and others were in the middle of conversing with the president? If you say yes, then your response has already proved my point, but if you say no, then why is your conversation with the President more choshuv to you than your conversation with Hashem?
The sad reality is that mothers who bring their babies into the shul, often wait until the baby is REALLY disrupting everyone around them, before finally realizing, hey it’s time to get out of here. I have been through this over and over, and OVER again, and it is always the same scenario, just different mothers and different babies. I think it is a particular inyan with the 20s generation today, that many young people feel as you do, that they are ENTITLED to do this or that. Well surprise – with freedom comes responsibility, and anyone who is not responsible enough to recognize that her sense of freedom should not infringe on others’ right to daven properly and with kavana, is not yet sufficiently mature to be raising the next generation. One cannot raise baalei middos, when one’s own character is lacking in consideration for other people. That is my opinion, I stand by it, I talked the talk and walked the walk with my own children when they were small, and did nothing that I am not asking others to do.