Tapping my foot on the beat just feels natural for me, I'm able to forget about my foot, yet feel it to help me. I do play in better time when I tap my foot. I think it's something that can be learned. I'd suggest listening to a dunun pattern and tap your foot along with it (or even a metronome if you dont have a bare dunun pattern) With your foot tapping, keep your hands still and try to sing the accomp. rhythm to the dununs (or passport). Really pay attention to where the sounds line up with the foot to get a feel for the pulse. With passport, the first and third notes will be on the down beat, when your foot taps. Once you can say it, you can play it!

keep your foot going and keep singing the part, but now tap your hands along with your voice.
It may take some time to develop, but it really helps in understanding a rhythms feel and keeping you in time. Even if you dont tap your foot the whole time, you should feel where to tap your foot while you are playing... I notice I'll start tapping my foot if I'm having trouble finding the pulse or if someone is playing a bit off, that keeps me on.
I also try and have a conversation while I play a rhythm I know... I got this idea from Michael Taylor's DVD.. it's a great exercise. This is a bit beyond the taping the foot on the pulse, this is about feeling the pulse and keeping the feel in your hands while getting out of your head and being able to listen and communicate with the other musicians... that's when it becomes about the music and not just about your part in the music. For me it's no fun to play passport for 30 min. if in my head I'm saying (slap, slap-slap, tone-tone-)... it's much more enjoyable to forget that phrase and let your muscle memory play that, while you enjoy the music.
Hope I made some sense..
