What is blind Faith ?
Based on a blind faith (without logic/'Ilm/evidences), how can you be sure if you are a muslim or a kafir?
With a blind faith, you can follow bid'ahs or shirk or you can be a kafir.
Besides, how can muslims convince a non muslim who has no faith to follow islam : do they inject faith in his heart without talking to him ? no they first talk to his mind with evidences and with logic, and then based on these evidences he can believe in what you said and develop a faith which can be solidified with ibadat (acts of worship).