No, I haven't wiped out a portion of church history. I don't discount General Baptists at all. However, as a Particular Baptist, I don't see a distinction between my reformed theology and baptist theology.
If only Baptist churches that have reformed theology (which seems to be the way you worded it) are Baptist churches, then, yes, you have wiped out a good portion of Baptist history.
As for your points:
Separation of Church and State is popular and one that was a distinction in the early churches. Baptists in the 1600's went out of their way to distance themselves from the Anabaptists, showing that they were more peaceful and less focused on magisterial change. I am not sure there have ever been a group of Baptists as involved in the state as we are today.
That is not what separation of church and state mean. John Bunyan spent years in jail because he believed that there was a clear separation of church and state. Officially, there still isn't a separation between church and state in England. The "Church of England" is the "State Church," a Church which persecuted and murdered many believers as did the RCC. The state has no business in running the affairs of the church. In Russia only "state-approved" church are allowed the freedom to operate. All others meet secretly, "underground," as it were. So it is in many countries where Christians are persecuted and Christianity is outlawed. When the state mandates that you can no longer preach against homosexuality, they have overstepped their bounds. They have no business in the pulpit of the church. That is separation of church and state--something that Baptists have shed their blood for. Look up Baptist history of Massachusetts.
I do want to know more about #8, if you could explain what your point is with #8.
Separation ecclesiastically and morally.
a. Separation ecclesiastically. We separate from all churches that don't preach the gospel (liberal, modernist), all churches that are involved in cults, all churches that are involved in the Charismatic movement, the ecumenical movement, etc. (In general it means we have fellowship with those churches of like faith and order such as we do).
b. Separation morally. To use an example from history, Montanus separated from the churches because they had become corrupt. He emphasized purity: purity in the church, and purity in personal and holy living. This has an emphasis on sanctification; holy living.
I mentioned #3 earlier in my post. The Philadelphia Baptist Association, the first in the United States, originally rejected autonomy of the local church. They viewed the association as a type of Supreme Court. Would you consider them Baptists? I do consider them Baptists, so I would not make #3 a key distinctive.
I would consider them Baptist, but I believe they are wrong. Autonomy of the local church is a Biblical principle. You won't find denominationalism, or any of it cousins in the Bible. Paul started churches, not conventions.
#1 and #4 do not separate us from other Protestants, so I would not see them as a Baptist Distinctive. #6 would include the distinctive of Believer's Baptism, but the two ordinances are not distinctive from other Protestants.
The distinctives as a whole set us apart. Sola scriptura is very important to the Baptists. It is our final authority, our guide book for everything that we believe. That in itself is our most important distinctive. "Thus saith the Lord," not Oral Tradition, or the Book of Mormon, or any other authority.
Likewise the Priesthood of the believer. We each are priests before God--a concept so foreign to other religions, and so untaught in many of our own churches.
I agree with Biblicist who included the other major elements of orthodox Christianity. I believe that is key to separate us from most anabaptists.
It would be good if throughout history we found those believing all points that I have posted, but we won't. But we will find those believing a general consensus on most of those points throughout history.