Do you have any fish in there? My only concern with your plan would be that most fish like to have open areas for swimming and your list of plants will very much limit the size of such an area. My advice to you would be to start small and add as you go. Tall plants for the back and smaller ones for the front, is usually the way to go. Here are some comments on some of the plants in your list: Limnophila sessiflora
: This appears to be one of those needle-leaf plant similar to hornwort. Your water needs to be cristal clear and free of floating debris because those plants will catch such debris and the needles will start looking brownish and ugly. Cryptocoryne
: I have read in a few places that cryptocorynes may actually 'encourage' the growth of cyanobacteria. I will never again buy those plants. Hygrophilla
: I have had many strands of hygrophilla in my tank at one time or another and all are very hardy and beautiful. Hygrophila difformis (water wisteria) is supposedly said to help control algae in an aquarium but I cannot tell you if that is true or not. Sagitaria
: In my experience you need to know your stuff in order to keep this plant. It died very quickly in mine and I believe my tank was lacking in proper nutrients for this plant to survive. Add to that the fact that it is a plant that is low and close to the substrate and the cyanobacteria that lived in my tank attacked this plant first. Planted in a proper rish substrate this plant will grow to create a carpet on your tank floor but I haven't seen that personally.
I do not have experience with a "fully planted bottom" but in my view that's something you would want to work towards rather than instantly implement for various reasons. Not all plants will require the same care and maintenance and if you add them all at once and some start to die, you'll never know why and you will not be able to tackle one problem at a time. As plant matter dies and sinks to the bottom on your carpeted tank floor, debris will accumulate and possibly 'choke' your carpet to death. If I was doing this, I would add one plant type at a time, wait a few weeks to see how the plants adapt, and then add another type of plant and wait... etc. Of course it is easy to give advice... I probably wouldn't be able to wait at all...