Yes, Renaissance has bike paths. For the most part, the two sports don't intersect, except that their trail does come kind of close to a tee pad and the back side of one of the big rock holes...And then on Renske, we have to hike about 80 yards from one basket to the next tee while directly on their track.
Once, they were having a biking event while we had a tournament on Renske. We're aware of them, and we know to keep to the far right of the path when they're active. What cracked me up was one dude who went whizzing by hollering "BIKE RACE!" Our group, in unison and damn near 4-part harmony, answered, "GOLF TOURNAMENT!"
It doesn't have to be confrontational or even slightly problematic, as long as there's good communication from both parties. Mocheez' situation seems worse, because the golfers were "promised" land that the bikers ended up taking, like a Mongol horde...