Consider:
3 days is a lot lot of time to steal and hide a body.
40 days is a lot of time to come up with a good story, based on the requirement of faith in things that aren't there, leaving the rest to The Goebbels Effect. A whole lot easier than directly confronting the establishment with an army of 12. Especially when directly confronting the establishment gets you flogged and nailed to a board.
Political spin or a medical near-impossibility? Which is more credible?
How likely is the being who used floods, fire, plagues, and firstborn smiting as an unambiguous disciplinary tool (that still didn't work very well, BTW) is going to resort to trusting his message to a game of "telephone" played by the at-that-time largely illiterate human race (which isn't working very well, BTW)? This leaves us 2,000 years later, when we've still got Jews (who are happy with the old message & didn't buy the new one), we've still got Christians, and now we've got Muslims (who needed another message), and severe lacking of consensus even within those camps.
Which brings me to four more questions:
1. Does this being even exist?
2. If this being does exist, how correct are our assessments of its abilities and its plan for us? A fair argument can be made that it WANTS us at each other's throats.
3. Is that being worthy of our adoration?
4. Is basing our worldly interactions on subjective notions that 3/4ths of the world will disagree with because of their own subjective notions really any way to run a planet?