Speaking yesterday in Karen, Nairobi, the alliance said it was concerned with the way the two are relating.
"It is with great concern that we have witnessed the public exchanges between the president and the deputy president. Whereas we are not privy to the circumstances that may have led to this fallout, we wish to strongly appeal to the two leaders, by mercies of God, to find amicable ways of resolving their differences," said Rev Nelson Makanda, General Secretary EAK.
On the recent Court of Appeal ruling on the Building Bridges Initiative(BBI), they said the court did not rule that it was bad but the process used was wrong.
"It’s our considered view that, in light of the proximity of next year's General Election, this project should be shelved for now and possibly considered after elections, and in line with the provisions of the law," said Bishop Oginde, chairman of EAK.
The alliance also told off politicians calling for removal of Interim Electoral and Boundaries Commission (IEBC) chairman Wafula Chebukati, saying this was "disturbing".
"With few months left to elections, our priority should be to support the commission to be prepared to deliver the election we desire," said Bishop Oginde.
The alliance also criticised the government for forcing Kenyans to take the Covid-19 jab.