I have a mortgage with Wells Fargo, and as much bad rap as they have gotten, I can honestly say they are the best mortgage provider I've had and I've had quite a few. Their customer service has been really helpful several times when I needed it.
The last time I checked, getting a mortgage was optional and based on the home value, so I'm not sure how they would collect "high" mortgage payments unless you agreed to it and yes, if you don't pay your mortgage, they will repossess the asset they are financing, otherwise known as foreclosure.
I'm guessing your question was sarcastic and or rhetorical though so I'm not sure why I'm bothering to answer.