Shouldn't the answer to this question depend on initiative?

Here is the order of operations as I see it

The Ghost triggers the bomb.

The damage triggers both the destruction of the ghost and the removal of the bomb simultaneously.

On 6/25/2017 at 9:02 AM, Orcdruid said:

Shouldn't the answer to this question depend on initiative?

Here is the order of operations as I see it

The Ghost triggers the bomb.

The damage triggers both the destruction of the ghost and the removal of the bomb simultaneously.

The removal of the bomb token isn't a triggered effect set off by the damage. It's the next thing you do after resolving the damage. Resolving the damage includes removing the Ghost and deploying the Phantom.

OK, so follow-up question.

The consensus seems to be, and I agree, that the Ghost is destroyed and the Phantom deployed prior to the removal of the bomb token.

New situation:

A set of cluster mines is laid out in front of a Ghost. The Ghost executes a 4-forward and runs over all 3 cluster mines, ending its movement just in front of the final node. The mine-owning player chooses the order to resolve the mines in, and chooses to resolve the one nearest to the Ghost's original position first. That mine deals lethal damage to the Ghost and the Ghost is destroyed, deploying the Phantom. Because of the positioning, the Phantom's deployment causes it to overlap one of the nodes of the cluster mine which has not yet resolved, but which was activated by the Ghost.

As the detonation of this node has not yet been resolved, can the bomber choose to have it detonate onto the Phantom instead of the Ghost, since both ships have now overlapped it?

No, it's already detonating by then. It does not redetonate.