Car oil is fine as long as it is not "Energy Conserving" oil.
The additives in Mobil 1 make it work well, and do not give it any adverse reactions with wet clutches.
There are some more additives in some oils than others (Amsoil is one of the best, nod to Eyespy), however for everyday riding the best thing you can do is CHANGE THE OIL!!!!!
regular oil and filter changes will do more for your bike than running the best possible oil.
Even a petroleum based oil is exceptional when new, it is only after it starts to break down from heat and combustions remains that it noticeably drops off.
To that effect, changing your oil more often, with less expensive oil will net you the same basic protection, for the same overall price.