I was banging my head with a very similar issue while testing on a Galaxy Tab 2. In my case, I had a simple hyperlink, not a button, but the issue is the same. Here's what I discovered:
The error message in my console with tag WebViewInputDispatcher and value blockWebkitDraw lockedfalse appears to occur every single time I touch the screen, regardless of whether I click on a button or link. Therefore, this error message relates to onTouch events, not your button click as you might have expected.
When originally testing by clicking on one of my links, I originally thought the Galaxy Tab was blocking my link. It turns out, the Galaxy Tab 2 is just very insensitive to click behavior so when I thought I was clicking on the link, I was actually missing. By clicking slightly higher than I thought was necessary, I was able to activate my link.
To validate my suspicion, I greatly increased the font size of my link. With the much bigger link, I am able to click the link successfully on the first try, and my app now performs as expected. I strongly suspect that if you just make your button a lot bigger, you'll be able to click it successfully.