P,
This plan is possible, but with limitations. For example, a full-body strength training thrashing for 90 minutes every day is incompatible with running 3-4 times a week. A light 30-minute high repetition/low resistance can be done every day when running too.
So, it all depends on the intensity and duration of the strength sessions and the intensity and duration of the swim, bike, and run.
Personally, I would not write a 6-day-a-week strength training plan. Your return diminishes rapidly after 3 strength sessions per week. An ideal frequency would be strength and swim or cycle one day, and run the next with no strength training.
Again, possible to go 6 strength days a week, but you just may have to scale it back or the aerobic portion back to accomodate.
David