LE experience is not too relevant to most pilot employers. I suspect that an LE background (like some military jobs) will make it easier for you to handle high-stress cockpit situations, but it's not normally an official criteria.
Most folks who want bodyguards hire bodyguards, although I am aware that there are a few bodyguards who adverise a variety of bonus skills, including piloting. You would probably be working for a private individual in this case (perhaps eccentric or shady) as opposed to a company.
Getting those local jobs is ALL about networking...