Your heart will certainly go nuts. But deadlifting won't enable your heart to keep going at 80% for 5 minutes straight unless you do some 1x100@100lb crossfit style deadlifting.

I strongly recomment weight lifting for most people. I'm only suggesting that out of 5 days, do 3 weight and 2 cardio days. And yes, the cardio days should probably be squash, heavy bag or football rather than the treadmill.