Excessive Warming Up?

As for myself, under this CFTS, I can only run fast AFTER I run 1 or 2 20m sprints @ 95%. In other words, after I do that, I feel as if I switch my CNS on; and it stays on for hours.

In order to do the sprints, to turn on my CNS without hurting myself, the warm up aspect (slow jog), and the dynamic stretching is long enough to warm up my 200lbs body (at least 20min); and this lenth depends on the ambient tempature. So for example, if it’s cold outside I take a shorter warmup and if it’s hot I take the longer warmup I made out for myself.