For this purpose we have either to expand the meaning of...
For this purpose we have either to expand the meaning of causation to include glorification and manifestation or to say that the 'ba' in bismillah is not for causation and that 'with the name of Allah' means with His manifestation or with His glorification. Therefore Bismillah al-Hamdu lillah' does not mean that Allah's name is the cause and his praise is the effect.
Anyway, as far as I remember the words, sababiyyat or 'illiyat (cause, effect, causation) are not mentioned anywhere in the Qur'an and the sunnah (traditions). These words are merely philosophical terms used by the philosophers. In this sense the Qur'an and the sunnah have used the words of Khalq (creation), Zuhur (manifestation) Tajalli (glorification) etc. There is another aspect of bismillah. We have a report about the dot under the 'ba'.
I wonder whether this report is mentioned in any authentic book. Apparently it is not. Anyway, Imam Ali is reported to have said: 'I am the dot under the 'ba' of bismillah. If this report is mentioned anywhere, it may be interpreted in the following way: The 'ba' signifies absolute manifestation. The dot signifies its first specification or determination, which lies in the state of wilayat.
If this report was true, the Commander of the Faithful might have meant that as the dot determined the 'ba', similarly the state of universal 'wilayat' is the first determination of the Absolute Manifestation. The name is synonym with absolute glory. It is primarily determined by the Wilayat of the Holy Prophet, Imam Ali etc. This fact is true even if it is not mentioned in any authentic book.
The first and primary determination of absolute glory is the highest stage of existence and this highest stage of existence is the same as the stage of absolute wilayat. As a matter of fact a divine name is sometimes a symbol of the state of self. The comprehensive name of this state of self is Allah. Sometimes a divine name is the symbol of the manifestation of some divine attribute such as beneficence, mercy etc. All these names are the reflections of the Exalted Name.
Some of these names are the names of the state of self, some of the reflections of the glory of names and some of the reflections of the glory of doings. The names of the first category are called the state of uniqueness; the names of the second category are called the state of oneness and the names of the third category the state of will. All these are the terms used by the mystics.