For a believer who has faith in God rather than in church, God precedes everything. God, the Creator and the constant relationship with Him affects every moment of their life.
As far as religious parties are concerned, belonging to them, supporting them, is not a religious task, an expectation. God was before they were formed and will be there after they fail. Joining these parties by assigning them religious values is equal to limiting or degrading the power of God. In these, it is only a matter of time and the place of love is replaced by hatred.
A relationship that begins at birth and ends with death cannot be replaced by an interest-to-interest relationship for power, where the name of God is the password!
Yes, faith itself is politics! But differently. As everything is politics. Even if we don't form any opinion is a sort of politics. Keeping distance and contemplation from above is also a policy. The order of birth, life and death is not decided by parliaments.
On an individual level, everyone can join the group they want. But involving God into that is pathetic. God has His own party, don't worry. In the long run, His party always wins.
As to those who turn (for friendship) to Allah, His Messenger, and the (fellowship of) believers,- it is the fellowship of Allah that must certainly triumph. (Quran 5:56)