How flexible is your dm about letting you adjust your character? Also are you permitted 3rd party material? Because unless you can use some of the back-door methods for entering the prestige class MT isnt worth it. And to do that, you would have to alter your character.
You need a 2nd level arcane SLA and you can't get it from your race... so no you can't get in, you are just the wrong race.
I kinda hate the racial SLAs being needed to get into prestige classes early, but for Mystic Theurge you basically can't be a core race and still get in at level 4.
Your problems are more likely going to come from the Rogue and Duelist, Cleric is a very strong class.
I can probably get away with 3rd party materials if i can make a good arguement but dont think he will let me change my character around too much.
If you cant change around your character, there isnt an easy way to do it. The trick generally comes from the fact that spell like abilities count as spells of their level for the purpose of qualifying for prestige classes the Faq explains this pretty clearly.
But given you are a dwarf, and already cleric 8, there isnt really a way to sneak into MT that I know of.
The normal route is trickery domain (copycat gives you Mirror image a 2nd level spell) then 3 levels of wizard, then on to MT. Or one of the races that grant access to a 2nd level spell as a spell like ability (tiefling, asimar, etc) and then arcane caster 1/cleric3). If you cant do that, you are going to need 3 levels of wizard, which will be a very big power drop, especially since you are already relatively high level. You dont want to be effectively still an 8th level cleric dealing with 11th level challenges in an adventure path with a small party.