Not necessarily, you'd be surprised how much variation there is in grippiness of different tires with similar tread. Since those are bargain basement kendas on your bike right now, it wouldn't hurt to just try one new tire up front. The front tire is really the most important, you can use the front kenda you take off on the rear once the rear's worn out.
I think if you research you'll find many recommendations for grippier tires. Schwalbe's website rates their tires based on grippiness in certain conditions- http://www.schwalbetires.com/bike_tires/road_tires
I think Continental does too.