Does divorce occur through obsessive thoughts and ideas that come to me? Is moving the lips without sound sufficient? Does the colloquial word "tallaq" (طلق) mean a sharia-compliant divorce?

The whispers and delusions you experience do not affect the marital bond, because the default is its continuation, and it only ceases with certainty. Divorce occurs with the intention of its pronouncement. Therefore, abandon these whispers and seek refuge with Allah from the accursed Shaytan.