It's not exactly the same thing. "I've got to lie in front of all the bulldozers" means "I am obliged to lie...", so "I've got to" applies to "lie". "I've got all the bulldozers to lie in front of" establishes a connection between "I've got" and "bulldozers", as if there was an obligation towards the bulldozers to lie in front of them. Normally this structure would be used in sentences as "I've got so much work to take care of" or "I've got a family to consider", and in the case of this book it is used to make the joke funnier.