No. He’d have little to gain and much to lose. Besides, Obama is a naive politician in over his head, not the second coming of Stalin.
The more likely danger is that if the economy gets really bad, prominent entrepreneurs and maybe even right-wing voices will get arrested on dubious charges to the cheers of the Moveon.org crowd. That would be a dangerous precedent.
Soros (moveon.org) is already running ads against John Cornyn here in Austin.
I do believe moderate Russians said the same thing about Lenin and then Stalin and then ...