I've thought of Christian neutrality as the WT teaches. John 6:15 is one of the arguments of the WT to stay out of the politics of this world (John 6:15: Perceiving then That They Were About to come and take him by force to make him king, Jesus Withdrew again to the mountain by himself.)
The fact is that Jesus had a specific job to do and limited time. His kingdom was not of this world. We are in this world, at least for now, and I think that exercising the right to vote to find some better living conditions, as are our ideals, it has nothing to do with failure to exercise faith in Jesus. I think there is nothing wrong in exercising this right.
Now, though, never do something that is against your conscience. If you have doubts is better don't do it. Blessings to all.