Certainly it can be argued that restrictions on church gatherings by the state are an infringement upon our first amendment rights. This is especially true for Christian churches because the biblical word for church literally means "the assembly" or "assembling together." A church that does not gather is in fact a contradiction in terms. But my church, as well as most other churches, have complied with such orders because we recognize that we also have a duty to submit to the governing authorities within certain limits (Romans 13:1). But when the government begins to make exceptions to its own rule--for instance Hobby Lobby in our state--then that becomes a problem. Hobby Lobby or the liquor store--or you name it--does not share the same constitutional rights that are guaranteed to people of faith. If hundreds of people can pack Hobby Lobby, churches should also be granted the same right.
I'm not sure what you are suggesting with regards to "Sharia law." But I will say this: Baptists are the primary reason why we have the so-called "separation of church and state." In colonial America, most colonies had their own state sponsored church. For some states it was the Anglican church; for others it was the Congregationalist church; etc, etc. Baptists did not have such a state church, and thus they were routinely persecuted because they did not subject themselves to the state sponsored churches. Several Baptist statesmen were influential in securing the first amendment rights to the free exercise of one's faith and the prohibition preventing the government from establishing a state church. I say all of that to say this: as a Baptist and an American I believe strongly in allowing any person of any faith the right to practice their religion (within certain limits of course). We believe in the doctrine of soul competency, which basically says that God does not make machines. Every person has the free will to choose to worship God or not. Faith cannot and must not be forced.