Well, finally a topic which I can claim to be an expert on. 
First off, LGBs(Laser Guided Bombs) are not new, nor “cutting edge” technology and will be phased out over the next several years. Any ideas to confuse the laser targeting will be in vain with the next wave of technology. The new bombs named JDAMs are guided using GPS. Military GPS is rumored to be accurate to a matter of inches (the GPS we use in cars and recievers are good to 6 ft IIRC) and is virtually immune to weather, battlefield conditions and an possible counter action.
This said, few LGBs are “flown” into the target, most don’t even support it as an option. The cruise missle uses Terrain Contour Matching (TERCOM) and Digital Scene Matching Area Correlation (DSMAC) guidance. This basically means that it has a series of infared and visual cameras which it matches to high definition 3D maps stored in memory and navigates by comparion the current visual to the map of the target. New models are beginning to replace this with GPS because its cheaper, easier, and more reliable.
Most LGBs are guided using a “lased” target, and no your theory is not valid. Each weapon uses a different laser signature, its reasonable to compare it to different radio stations. You could only simulate the signal if you knew precisely what the laser was set at, it is also possible the signal has a code included, but I can’t say for certain if this is possible or true. It is typical that the target is illumniated by a soldier on the ground, it is possible to do so via aircraft in flight (not necessarily the same aircraft that is firing), but doing it from an aicraft doubles the distance traveled by the laser, and decreases the power of the signal. It also doubles the chance the signal will be obscured by weather and battlefield conditions. The vast majority of times the weapons are dropped from altitues and/or distances that make illuminating the target from air impossible. The point being, that ground based soldiers are the most common method, and is therefore the most secure of tactics and information. So to answer the question, yes the government wholey admits their use and existence, but is hard pressed to allow any information out about them. You can see how the tactics of SeAL and Marine troops would be very sensitive, and the government is likely to deny which mission they were used in and the timeframes of their placement and extraction, as well as any equipment and tactics they use. Better totally silent, and not allow for any bad guys to learn anything to risk lives and the most fragile piece of our bombing system. The technology is less sensitive to certain information being shared because it takes a massive amount skill and money to assemble it, but the tactics of men can be easily counter acted if they are comprimised.
In summary, the entire system is out the door anyways so its soon to be moot. Ground based laser illumination is typically done by soldiers. The laser signal cannot be easily simulated, but if it were the proposed theory might work, assuming the signal isn’t coded, which it may be. Anything else?