I've been lurking here for a while trying to learn all I can about Tesla ownership from this very knowledgeable group. So I'm pretty happy that there's something that I may be able to tell some of you about.
As lovingit stated, this car almost certainly has the Passport 9500ci installed. It's a pretty high-end system that is fully integrated into the car, usually in a custom, "OEM-like" manner. This one has the display integrated into the rear-view mirror which is not uncommon for a high-end install.
The Escort 9500ci can detect and alert the driver to radar traps and has a data base for things like speed cameras. The 9500ci does not "jam" radar in any way. It's built-in GPS allows the system to know where you are and to remember where radar installations are. It allows you to lock out specific locations if you determine there's really nothing there. The 9500ci is pretty much the best radar detector on the market today, although Escort has just introduced a new windshield-mounted detector, the Max 360, which may be better, but is not fully integrated like the 9500ci.
The 9500ci also has separate laser detectors and reflectors. This is really what people think about when they talk about "jammers". With laser speed detection, when you get hit by the laser beam you have no time to slow down after a detector alerts you. It's already too late. Laser speed detection works by firing a laser at a your car and measuring the time for the beam to bounce back to the laser gun. Laser reflectors reflect the beam away from the firing laser gun so the signal is never returned and law enforcement never gets a read on your car. They can be very effective and are probably the only defense against laser (other than driving slower!). The Escort 9500ci's laser system is an older technology that they licensed from Laser Interceptor. It's nice that it's all integrated into one unit, but it is not the best laser defense on the market today.
The best overall defense today is a combination of the Beltronics STiR Plus for radar defense and AL Priority for laser defense. Beltronics is owned by Escort and the STiR Plus is the exact same product as the 9500ci, except it does not have the laser detector/reflector part. For that piece, the AL Priority laser system (AL Priority USA - Parking Systems, Laser Jammers, Radar Detectors & Accessories) is the best on the market today. Like the Escort 9500ci and the Beltronics STiR Plus, the ALP system is fully integrated and when done right, looks like OEM when installed in the car.
These are expensive systems and can cost $3 - $4k for parts and a high-end install. But for someone like me who is looking to move to a P90D from 35 years of ICE performance cars, they are a must-have.
They absolutely work, but they're not fail-safe. Like anything, you've got to be prudent. And yes, some LEOs may not like seeing a radar detector, but they're not illegal (other than VA). But the nice thing about integrated systems like the 9500ci and STiR Plus is that - if installed well - they'll never be noticed.
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Google "escort 9500ci tesla" and click on the Images tab. You'll see some very nice integrations including the rear-view mirror mounted display.
There's a big difference between radar and laser, and between detectors and "jammers".
Radar detectors are illegal only in VA and DC. There is no such thing as a radar jammer.
Laser detectors are illegal only in VA and DC. Laser "jammers" (just a common name, but not what they actually do) are illegal in several states. I believe those states are AK, CA, CO, IL, MN, OK, SC, TN, TX and UT.
Speed cameras (whether mounted on red lights or elsewhere) are really not detectable since they literally take two timed pictures of your car and measure the distance traveled between the two pics. Higher-end detectors like some of the Escorts, have camera location data bases that are regularly updated and alert you when you are approaching a know camera site.
There are many well established companies that have been selling these devices for years (I've been using them since the early-80s), so they are certainly not illegal in any sort of blanket way.