How important is it to be able to switch leading off between the right and left hand? Personally I like the sound better when this is played from higher pitched drums to lower pitched drums, in order, which means leading off with the left hand.
I think you answered your own question. If you want to be able to play something, and it's hard to do, don't be too proud to do it slowly. Practice at a tempo that is slow enough for it to feel easy. Do this with a metronome. If you are able to time the notes perfectly with a metronome at a slow tempo, everything will sound much smoother when you increase the tempo. If you play slowly, but out of time, you will be able to play faster, but it will sound more choppy when you increase the tempo.
Even if you're right hand seems strong, I recommend mirroring all the left-hand exercises for the right hand. The weaknesses of the right hand are generally going to be more subtle, but they also exist. They may appear insignificant compared to the left hand's current problems, but they also will eventually impair your playing. Instead of trying to bring my left hand up to the level of the right, I imagine what the ideal hand could do, and I try to bring each hand to that level
