Then you have not visited Bhakti Saints Temples and Ashrams of previous era. The Ashrams usually have no or single picture frame with Discussions on God and Guru primarily. No body forces "Idols" of anyone in temple. Its the temple management which decides what needs to be kept or with donors suggestions/wishes. But if any group comes and decides that dude you are not hindu/Sanatani because you have this particular image/guru in your temple - then I am sorry I shall oppose it as its plain analogous stupidity - talabanification.
Umm on the contrary - he did. You need to read more about him - better from the history. Do you know Bal Gangadhar Tilak use to meet him - when British had termed as extremist? Vasudevanand Saraswati ji Aka वासुदेवानंद सरस्वती / टेंबे स्वामी called Shirdi Sai Baba his brother - because both kept Dhuni discipline?
You also need to learn about Nath sampradaya especially in North west including Pakistan - where Shiva and Allah were considered same and were used interchangeably. He got hindu temples repaired. He was actually recognized by many other saints of that time like saint Anandanath of Yewala, Saint Bidkar Maharaj, Saint Gagangiri Maharaj, Saint Janakidas Maharaj and Sati Godavari Mataji etc.
Always read first earnestly from multiple sources - including biographies - before making decision. Worship Practices change with time.
Let temples decide what they want to keep or not. Let not outsiders force them what they should worship or not. But that does not mean I am green lighting so called Ajmer Chistis or others. no I am not.
