In reality their is no such thing as "conservative" "reform" "liberal" or even "orthodox", their is the Halacha and its either one follow it or not. All of these terms are new inventions that started in Germany. If you look at Sefardi communities no one went by these terms. Either one kept the Mitzwoth (or how much of them) or not. But when one came to shul it was the same shul for all, those who were meticulous in Mitzwoth and those who were not, and perhaps come a few times a year to shul, but it was/is one for all.