I happened by accident on a thread about this very problem on the Browning Forum.
First, the magazine release button
is intentionally a magazine disconnector, and here is how it operates:
Both the trigger and the mag release have small tabs on them that line up when the mag is removed, blocking the trigger from moving. The gent in the Browning Forum gave a simple way to defeat it, with two ways to go about it.
The easiest way is to remove the mag release and file the tab off of it. (There is a very small and simple trick to removing the mag release: You have to push it all the way in before the spring guide can turn into its little slot.)
The other way is to disassemble the pistol entirely (very similar to a standard 1911), and file the tab off the back of the trigger. This is more complicated than just removing the mag catch. (It's only necessary to remove one tab.)
Once this is accomplished, there will be no more disconnect, but you run into the oft-discussed problem of "removing" a factory safety device, much like taking the disconnect out of a Hi-Power.
At any rate, I decided not to send it back to Browning for "adjustment" since I have heard some minor horror stories about their lengthy turn around times.
Instead, while I had the mag release out learning how the system operated, I noticed that the ledge that engages the slot in the magazine was somewhat ragged and not cut straight. Also, the bevel under the ledge was protruding too far into the frame causing the follower to hit it, thus stopping the mag from going in all the way. I dressed out the raggedness of the ledge and squared it, then dressed the bevel slightly, giving it a slight concavity. Now the magazine slides in fairly smoothly with much less resistance and no longer hangs up on the release.
Oh, and I didn't remove the tab from either component, so I still have a disconnect, but now that I know what it is and how it operates, it doesn't bother me.
Don't know if I voided my warranty or not, but I don't think that the mag release is going to be an issue anymore.