Is it normal to think with an accent?

Yes! I speak 2 other languages after English, and I recently bought a French cook book and kept reading it in Manu Fildel's accent :)

I think in Russian, Mexican, American, Italian-American accents. And most of the people answering tbis question seem to think its normal so yeah, its normal

Gov'ner do you wuant jour crumpets and tea?

I am a native spanish speaker and I usually think in brittish or american english, so it is totally normal.

I do that all the time haha

Im dutch and i sometimes think in english :) so yes, its normal