Preventing logs from filling up is quite a cosmetic issue. Making the box hard to crack is certainly more relevant.
Note that I'm not advocating against a port change; just saying that it's the very last of available options, as it's essentialy security-by-obscurity, and thus only gives you a feeling of higher security (due to less spam in the logs).
Making security logs usable can (note the word) be a very important part of a security setup. Lots of people don't have the bandwidth to pay attention to noisy log files to look for anomalies.