Is describing a car emblem as "silly" and then saying "There is no god but Allah" considered an insult to the name of Allah the Almighty? And what should be done in this case of severe intrusive thoughts (waswasah)?

Do nothing but ignore the whispers (waswas), for you are upon Islam and no mockery or ridicule of the name of Allah has come from you. So, disregard what Satan casts into your heart, for indulging in these whispers leads to great evil.