Seeing as it's a van, you're probably just looking for straight line grip? The tires you have are already pretty gripey... you're going to be trading off a lot of mileage to get more grip.
I run the same tires as what you have now. Wheel spin in 1st and 2nd happen. I've autocrossed and done a track day on these tires; they're a really great tire that will get 40k or more miles. You switch to something like a Nitto, which has great straight line grip, and you're going to be looking at swapping tires every 15k miles or less.
I've played that game with my Cobalt (400+ whp / 400+ wtq). It gets old.
Great traction in 1st doesn't really happen for FWD vehicles. Learn to modulate the throttle pedal to get the acceleration that you need. Just my opinion.
Go to TireRack.com, input the size you need, and then filter out for tires rated "Extreme Summer Performance", etc. Falken RT615k+, Dunlop Direzza ZIII, Bridgestone Potenza RE-71R... all great, sticky tires. Be prepared to eat through them in less than 20k miles though.
Yes.
TIRE TECH: UNIFORM TIRE QUALITY GRADE (UTQG) STANDARDS