I would love it if Obama tried to stay in office for another term. Imagine how entertaining that would be.
It would last about 30 seconds if the next POTUS is a republican. Once he's sworn in, he becomes Commander in Chief.
He would have all of the power of the Armed Forces at his command to forcibly remove Obama.
Not to mention every WH guard would then be his "employee".
Nobody is going to go to prison to protect the jackass.