We survived the Kennedy assassination and Watergate. We are strong enough still to survive an office holder’s being removed for failure to qualify.
We have a Constitutional line of succession for a reason. If Obama were disqualified, Joseph Biden would be installed and he would reaffirm everything done by Obama or make changes/modifications he deemed appropriate.
Obama is a usurper so Biden his choice is disqualified too along with all of their decisions. What has happened already cannot be changed such as all the money already spent but every other law, Presidential proclamation, treaty etc. is immediately rescinded. For the time being the Speaker of the House becomes President.
The succession is the least problem. The real problem is everything thing he has done while in office, good, bad or indifferent becomes null and void.