Do the two aspect of Bodhicitta: love and compassion and the wish to attain enlightement mean the same thing as conventinal Bodhicitta and Ultimate Bodhictta?
Whereas practicing love and compassion equates with conventional Bodhicitta and the aspiration to attain enlightenment equates with ultimate Bodhicitta (or the wisdom realizing emptiness)?
Or should they be taken as seperate categorizations?
Not sure if you got a clearer picture from Alex Berzion's site, but once again here goes anyway:
Love and compassion form the basis of generating (conventional) Bodhicitta - the wish/mind of enlightenment. Conventional Bodhicitta is pretty much defined as the method aspect of Bodhicitta.
Bodhicitta itself is defined as the transformed main mind whose mode of being is that of wishing to effectively liberate all beings from their suffering, accompanied by the aspiration to attain Buddhahood through ultimate wisdom (omniscience) in order to fulfill that goal. It must be accompanied by that aspiration to be effective.
So in reality there is the 'main mind/general consciousness' that wishes to liberate accompanied by the mental factor of totally committed aspiration to perfection as a Buddha.
The wisdom aspect is called the Ultimate Bodhicitta..