The rhythm as written is the simple 2 & 4, 1& 3 kick. For the kick I'd add one more note in the measure. 1 2 & 3 4. The & of 2. Also there's a guitar pick up note at the beginning, e4 to the downbeat.
I love this style of notes/ staffs, just entire way the measures are written out on the bar lines. But, covering this tune on the weekend as written would certainly fulfill the needs of the band.