Obstruction by Catcher?

 
The right-handed batter (B1) swings at the pitch, hits it, but the ball dribbles fair only about 1-2 feet in front of home plate. As B1 is leaving the right-handers batter's box and the catcher is leaving his catcher's box, the two unintentionally collide just in front of home plate.
 
- The defensive coach thinks that B1 just interfered with his catcher's right to field a batted ball (so call B1 out).
- The offensive coach thinks the catcher just interfered with his batter's right to advance on a fair ground ball (so award B1 at least first base, maybe more).
- The field umpire runs to the outfield to await your decision (so block him on the Arbiter right after the game).
 
Now what does the plate umpire do?
 
Call
In the situation below, both the batter and catcher were "where they suppose to be and doing what they were suppose to be doing". As long as the umpire judges that neither the batter nor the catcher intentionally contacted/interfered with his opponent, then a batted ball immediately in front of the plate is in an area where we just "play on".