Flatbusher, I believe there are still Conservative synagogues where women aren’t counted for a minyan and don’t receive aliyos. Some call themselves traditional while others are billed as egalitarian. I suspect it’s only the latter where women participate in all roles.
As regards walking into a conservative synagogue, I think there are yeshivas that rent space in them. I once worked for a secular school that rented classroom space in a conservative synagogue. On rare occasion, they used the sanctuary. Much to my surprise, the siddurim in the pews were Artscroll.