Is Crist Raising Campaign Money at the Taxpayers' Expense?

Yes. Seems to be no doubt about it. This shouldn't be legal and it clearly doesn't comply with the intent of the law. From the Tampa Tribune:

But Crist's campaign coordinates fundraising events with his schedule as governor, said campaign fundraising chief Dane Eagle.

Eagle said that's to avoid impinging on Crist's performance of official business, but it also means taxpayers occasionally share the cost of his attendance at campaign events.