no, fuse panel will only have a 12v constant or a 12v switched power. you'll want to locate your dome light power wire and t-tap into that. so that whenever your dome light is on, the leds will pop on. gimme a second and i'll logon directtechs.com and find out the easiest place to access that wire.
edit:
seems like the 09 is the same as my 08 escape. so here goes... i'll list it as: item, color, location
Left Front Door Trigger
green/
purple driver kick or
SJB, gray 26 pin plug (C), pin 14
Right Front Door Trigger
white passenger kick or
SJB, gray 26 pin plug (C), pin 2
Left Rear Door Trigger
green driver kick or
SJB, gray 26 pin plug (C), pin 3
Right Rear Door Trigger
yellow passenger kick or
SJB, gray 26 pin plug (C), pin 15
Dome Supervision gray/purple driver kick or SJB, gray 14 pin plug (A), pin 9(most important and easiest)
now, "SJB" is the smart junction box. it's located inside your console down on the passenger side. to t-tap into any of them you'll need to completely remove your console. see JP's write up in the 2008+ how to forum on how to remove it. he's got diagrams and everything up there. it is really not that hard at all to remove it. takes about 15-20 minutes if your handy with the tools.
assuming the kit you're using is only a 12v and ground, here's how i would do it if i were you.
turn your dome light to the off position. then remove the console. make a good ground using a self tapping sheet metal screw and lock washers so the ground doesnt wiggle loose. i would use the big metal supports that console bolts into. now, locate the gray/purple dome supervision wire. t-tap your power wire from the unit into the dome wire. now turn your dome light switch on, the lights should come on. after testing, run your leds where ever you want, make sure you tuck your wires in nice and neat for a professional install. ......
now if you wanna get fancy... run power wires to each seperate door trigger so only the door you opened lights up
the grey 14 pin plug the dome wire is on will look something like this
hope that helped