Not to argue with you but I have been through this before this before, first off 'USS Enterprise' is indeed trademarked:
http://tmsearch.uspto.gov/bin/showfield?f=toc&state=4802:8dxwh8.1.1&p_search=searchss&p_L=50&BackReference=&p_plural=yes&p_s_PARA1=&p_tagrepl~:=PARA1$LD&expr=PARA1+AND+PARA2&p_s_PARA2=USS+Enterprise&p_tagrepl~:=PARA2$COMB&p_op_ALL=AND&a_default=search&a_search=Submit+Query&a_search=Submit+Query
But, 'Enterprise' itself is not, nor can be, since it is a common word.
Axanar is not trademarked it can most certainly be use. If you had a product that was call Axanar. CBS can not just Trademark it and retroactively go after you. You were selling the product first even though Star trek may have doped that name in an episode or 2. The Patent and Trademark Office looks very carefully before issue a trademark. You can also file a protest with them. if the name is in is being considered for a trademark.
CBS will try to protect some of the most common names that clearly associate with Star trek like 'Klingon' but more obscure names like Axanar they will not.
There are also types of trademarks, Spock is trademarked by a few companies and only traded marked by Paramount as a 'Drawed Character' . So if I made a chemical cleaner called 'Spock' it is not Paramount or CBS that would go after me.
You can look yourself here:
http://tmsearch.uspto.gov/bin/gate.exe?f=tess&state=4807:j9vdla.1.1