Easter Bunny?

So I have held a theory for a few years on the Easter Bunny. So hear goes my thought...I have only shared this with one person before today. I can't prove any of this but hear me out and then give me your feedback.

The rabbit represents fertility in different religions and mythologies. The Easter Bunny lays eggs. Eggs to me carry a very close symbolism to the empty tomb of Christ. So my thought of the Easter Bunny is that it carries an implication that some twisted form of fertility caused the resurrection rather than the power of God. So there you go I just attacked the Easter Bunny. Not really...but seriously what do you think about this thought.

James