Speaking as an agnostic, it would depend on what exactly happened to all the agnostics.
Conservatism's bottom line is preserving those things that make us strong. Even evolutionary reflection would affirm that theism has stood the test of time and that agnosticism/atheism have not. Evolutionary agnosticism probably will not be any improvement.
I would change the handle to read "agnosticism/atheism are cancers on conservatism."
You will not become a Christian, imo. You don't want to, and you seem firm in that. In my view, that indicates that God has allowed you to set your heart in your current direction, AND you have the neat added benefit that He has firmed up your decision by giving you the freedom to do so.
Moses told Pharaoh, "Let my people go." But Pharaoh hardened his heart against the Lord. And the Lord also hardened Pharaoh's heart.
So...I have no illusions that you will become a Christian.
The current plan is that they'll be allowed to be agnostic privately. However, if they publicly declare their agnosticism, they'll be stoned to death.
You would be sent away for "re-education" of course.
Agnostic - that's means you don't KNOW for sure; right?
So, when He shows up, you WILL know for sure.
Make your choice then; Thomas.