Sounds like she is determined that she is gonna have her way. At 2, she can still get away with the paci. I advise you do do it gradually. When I went throught this process with my daughter, I first began calling it her "cozy". Then after sometime of it being her cozy and not her paci, then I began telling her that she was too old for this nasty cozy, it was no longer a cozy in 2 weeks, and that SHE will be throwing it (them all) away in the trash- right after doing some shopping with you to pick out a NEW COZY. That was exciting for my daughter. We also made the cozy (paci) less enjoyable, by snipping a gash into it, and more here and there, till it uncomfortable (without her knowing of course). So, I renamed it in order to substitute it. Then gave her a basic (two weeks, 13 days, ........2 days)countdown so she could come to terms with loosing it. Made it less desirable. Made her do the disposing, and tell it "bye bye...we don't need you anymore". And gave her something to look forward to that will also be soothing. My daughter picked out the most snuggly softest bear that played music. I bought 2, hid one. You can almost never replace what they become relied on, so switch them out, so they get equally 'used'. If you loose it or can't find it in that emergency cry time, you are in better shape. The fact that it played music gave it a function...to be cozy, and therefore soothe her. Hope this helps!
A.