I know that there's a way to open the DROID RAZR by prying the Kevlar backing. If I remember right, once you pry it off, the battery should be right there.... It's easier than taking the iPhone battery out.
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Correction, the battery is "removeable", but not designed to be "user replaceable".
The battery is immediately behind the Kevlar backing as you describe (and the YouTube video depicts), although it is essentially designed to be an integral part of the phone's "frame" by way of the double-sided tape securely affixing the Kevlar backing to it. The combination of the Kevlar and the battery - essentially fused into one common structure creates a very rigid connection to the phone's bezel (surrounding metal exterior), making the phone stiffer without adding any significant weight or thickness. This was all part of the cutting-edge laminate design that allowed such a thin profile while not sacrificing strength and durability by reducing case thickness but retaining resistance to flex. I have had one open and I can tell you that removing the back without damaging it or the tape was a long and difficult process. The video makes it look easy but that's likely because he (the video creator) has had that back off numerous times BEFORE doing the video, so the adhesive has lost a great percentage of its stickiness.
Now I know there will be those who will quickly jump in to say the phone is more succeptable to flex than a comparable (but much thicker) phone, and that's true, however if the phone were not designed with the "laminated" concept where each layer of the phone is physically attached to the next, it would be FAR MORE flexible
at this thickness and succeptable to even more screen breaking.
As for replacing the battery on the fly, the electrical connections are NOT pressure sensitive tabs as are typically on phones with "user replaceable" batteries so the battery can't be completely removed by simply lifting the blue tape tab. Instead, the RAZR's battery contacts are actually threaded screw terminals which use TORX screws to physically affix the contacts to the motherboard via those screws. Using screw terminals allowed the battery to be an even tighter fit and further prevented any flexing of the phone and case. It also makes for a much less fail-prone connection so that unlike other batteries where over time the connections can become loose with repeated insertions and removals, the screw terminals are highly unlikely to work themselves loose, and if removed the new battery can be reaffixed with the same level of secure attachment.
The TORX screw size is likely either T5 or T3, meaning they are VERY SMALL, and the drivers themselves are hard to come by. You can't go to the typical hardware or tool store and purchase T3 or T5 drivers. This means, unless you carry around the required T3/T5 driver with your "spare", you will NOT be able to either do a "battery pull" OR replace if discharged. They are generally only available from electronic repair suppliers. You CAN get them off the web through dealers on eBay and other sources, but you may have to pay for shipping must wait the associated shipping timeframe, though they're rather inexpensive. I bought a repair kit for my D2 to replace the screen and bezel, and it actually came with a pair of T3 & T5 drivers as part of the kit, and the whole thing with bezel and screen glass was under $20.
Some other things to consider... With repeated removal and replacement of the back (which is attached by friction clips), you will eventually wear down the tiny plastic clips along the edges that hold the back in place, making the case looser over time. Also, the noise-cancelling microphone (bottom rear hole) is surrounded by a very delicate foam rubber grommet that is supposed to keep any air leakage between the back cover's hole and the microphone element from happening - thereby reducing the microphone's efficiency. By removing the back, you also run the risk of tearing that grommet, and I can tell you it would be nearly impossible for the average person to remove the damaged grommet and replace it. Then there's the double-sided tape on the battery that holds the back Kevlar tight. If you remove the cover, you expose the adhesive to dust, dirt, finger oils, etc., so unless you replace the adhesive as well, you may find the back is no longer tightly affixed to the battery and you will have effectively reduced the resistance to flex that was the purpose for the design.
I suspect that any dealer worth their salt who sells either replacement batteries or extended batteries for the RAZR would be kind enough to place the double-sided tape on the battery ahead of time and leave a removeable backing that you would lift off just prior to replacing the phone's Kevlar back. This further suggests that any battery replacement is likely only for replacing dead batteries which will no longer hold a sufficient charge. There could easily be an extended battery and back cover designed for the RAZR, and I am aware of at least one that is "coming soon". This may relieve the concern for the MAXX having been released with the 3,300mAh battery so soon after our RAZRs. There's plenty of room to add battery thickness without increasing the overall thickness of the phone to beyond its thickest part - the camera and speaker section at the top. The end result would be a phone with a flat back rather than one that dips inward as it does now.
*Edit: One more thing, we don't know how removing the back will impact the water resistance feature. It may be possible that by simply removing the back the very first time, you will have broken a thin film seal that was created along the back panel's seam where it meets the front bezel, effectively breeching the water protection and giving water a new path of least resistance.
if you catch my drift like pulp fiction not snakes on a plane >.>