Let me start off with indicated that the light requirements for video are MUCH lower than for still photography.
For example:
A DSLR video shooting 1080p video shoots at a frame rate of 30 frames per second. That equals a shutter speed of 1/30th of a second.
A still shoot in a DSLR with a flash, or even continuous lighting is usually shot at about 1/125 at a minimum.
So you can see there is a huge difference in the amount of light required for the same exposure.
That product in your URL link is meant for video, not stills. That light is meant for doing an interview where the subject is about 3 feet in from of a camcorder. It would be very under powered for still photography.
They do make very high powered continuous LED lights. Think Hollywood movie budgets. These high powered LED lights can cost up to $20K and up. So they do make LED lights that could be used for portraits, but the cost would be so high, you could get a set of high-end pro level strobes for much less.
So, what you really need is a strobe, not a LED.
For an very inexpensive strobe, you can go with something lie a $300 Alien Bee or a Canon $400 Speedlight. Then you have to decide your budget for how many lights will you need, usually portrait work utilizes at least two -- one as a main light and another as a fill or hairlight. Some setups require 4-5 lights. You style could also be just one light. So the point is you need to research lighting techniques to decide which style you prefer, but the best way to start is with an inexpensive strobe light -- and not an LED light.