You're making the assumption that you would be sued, and properly served in the first place. If the former employer can find a competent lawyer to bring such a suit is highly unlikely. If the non-compete is overly broad, chances are that you could bring an ethics complaint (a free process in most states, including Florida) against the plaintiffs lawyer when the case was thrown out and then counter sue for costs from both the former employer and their lawyer.

Legal and limited non-competes and training contracts are not the problem, only these overly broad agreements that are the equivalent of indentured service.