Brother I contacted bank Alfalah Islamic in October 2016 and they told me that the paper work and approvals will take only 10 days but it took then 2.5 months to finally finish it and booked my car in start of January 2017. I booked Aspire 1.5 MT and got the delivery on 1st Feb 2017.
As for the Ijarah model, brother calculations of the monthly rental are based on the similar model as that of conventional. Plus the fact that they booked my car on 6th Jan and delivery of the car was on 1st Feb so for a wait of 25 days they added further markup of 131 rupees to my monthly installments. So makes me wonder how Islamic that is.
As for gifting the car at the end, actually bank charges you a down payment or in case of Ijarah security fee which is like 20, 25, 30 etc percent what ever you chose. once the payment period is over you have a choice to buy the car for the same amount as that of the security fee or you can choose not to buy the car and get your security money back from bank.
As for insurance, if you can find a bank that does provide Ijarah services and do not charge insurance do let me know because as per my research and experience there is no bank that allows you to take the car out of the showroom without having the car insured first. You do have the option of going for the tracker services or skipping it.