UBS sent out a letter to its customers today, thanking them for their continued faith. I have CHF 4.- at stake, they can keep it

Now the depot is different, but that isn't affected if the bank happens to fold. Which is why I find the faith issue curious... why would you withdraw your investment depot because of the bank's market situation? (besides, even now it's one of the best capitalized banks in the world)
They're also getting beaten by Swisscanto on funds now. Swisscanto is a joint company by the cantonal (state) banks and is well known for its lower fees and great performance. (I guess they can afford lower fees, they don't have to pay taxes - though I think they do it voluntarily, maybe at a lower rate) Downside is that the banks are only in Switzerland whereas UBS is everywhere.
Personally, I just have my Swiss Index with UBS. They have a good alternative to the Swiss Market Index that tracks it nearly to the dot but has significantly lower fees. I don't see anything else where they're leading...
They need to drop their investment bank division like Arnold suggested and focus again on wealth management. They get billions every quarter just from fees and they can't afford to put this at risk.