Don't know how you get that from Romans 13 (the interpretation of the "powers that be" refers to the governments of this age rather than to post-Second Coming or those of the Kingdom of God; verse 6 means a public servant so established by God rather than someone who actively sought that office as a Christian): but if what you therein claim is actually true, then by extension that means that you have to govern strictly according to God's law.
God absolutely does call Christians to serve in political office
You're correct on that score, and I think I can see what the purpose may be. Read Isaiah 3:1-5, and Daniel 4:17, 25, 32 (especially the last few words).
Even . . . Obama is in power to serve God's purpose. I fail to see His purpose
So as not to post another article within the comment section of this thread, I will refer you to the following article on how Romans 13 applies to holding political office in our present time. The author does a good job summarizing what I would say to you in response to your comments/questions.
http://www.heavensfamily.org/ss/e_teachings/christians-in-politics