Does the UTXO root hash have to be recalculated after every block, and maybe other tree recalculations?

If so, I am a little bit concerned about the performance impact. Lets say bitcoin grows, then the recalculation of this thing could
take minutes.

So do you think, it is possible to do all the necessary recalculations after every block in lets say 1 second, even if bitcoin gets really big and there is huge database?

(other than this, many thanks for working on the project, I have donated 1BTC)