Syag,
You think I like the kids running around?
But to say (you should be healthy for many years to come) that we have to sacrifice old people with canes and wheelchairs so that women shouldn’t come to shul with their babies is a little odd whereas there are countless other ideas where everyone can be happy (a babysitting service built into the membership perhaps where it benefits syag that she can daven properly and it benefits shprintze where she can daven properly and have the kids off her hands to boot
I’m not sure if your shul constantly have guests but one of the shuls in my community (Yeshivish/Modern) does this and it seems like it works
Bear in mind an Eruv makes a community most of the time (except for Brooklyn, but that’s an exception)