Hi Cornelius. A very important question is, are you going to reload or buy ammo? If buying ammo is your choice, the 30-06 is better as you are able to purchase 200 and 220gr rounds for the 30-06 (if you are going after blue wildebeest, zebra or eland). The 308 is slightly more limited as to the bullet weight you can buy, mostly will only be able to buy up to 180gr.
Second point is when working the gun, the bolt action must always feed reliable rather than smooth. the K98 / mauser action on the CZ is a controlled feed action, always picks the round from the mag and pushing the "locked" round into the chamber. It is nearly impossible to open the bolt without reliably extracting the round. The tikka is a "force" feed action, the round is only locked into the bolts extractor after its is pushed into the chamber, it sometimes happen when you need to reload fast that you only half cycle the bolt and in the heat of the moment, you open the bolt again and the round remains half chambered and is not extracted, thus your second attempt to cycle the next round cause a jam, one round in the chamber and second half sticking of of the mag and jamming against the first round.
this is an extremely important point when hunting dangerous game, but walking up to a "downed and dead" blue wildebeest that suddenly arise from the dead will not be far behind....
Just something to consider. I own both and love both calibers and rifle makes.... wont go wrong with either!