well it depends of how you dress the whole matter up. you are right - bizarre presentations are easier to do with tarot cards. with some fantasy you can dress up almost any card trick to be worked with tarot card and have a "logical" explanaiton why it works. people also usually dont think in terms of card tricks when you pull out tarot cards. so ou can easiely embedd 1-2 card tricks in a reading session
on the other hand with proper presentation you can use normal cards for "divination" or whatsoever and sneak in some tricks in your performance and noone will smell a rat.
so my answer to your question would be that you definetly can use tarot cards to do tricks but you have to have proper disguise for that. and it has to be meaningful and make sense. so basically as long as they think that everything is decided by the fate, spirits or whatever and there is no helping hand from you i see why not

actually you can increase the impact of the reading.
greets
PS why do i always want to watch blade runner when i see your icon? hmmm