Its not rai but Rana and Rao in central punjab, even Raja is more common in central punjab then Rai. And some do not use any. But Rana and Raja are by far most common. This article is great source to known which member belonged to which caste from 2008 election. I will bold rajput names.
The people using "Rao" title are musalman rajput muhajirs from haryana. They are called "ranghar" and still speak haryanvi. Raja is almost non-existent in central Punjab. All real Rajas in central Punjab have a Potohar(or AJK) origin. Raja Riaz of Faisalabad, for example, is from Chakwal originally, and belongs to the Mair Minhas clan.
As for Rais, I know for a fact that Bhattis from Sargodha and Sheikhupura use that title. I know a Kharral acquaintance who uses Rai. I also know a wattu using that as his title. Along with Rai, some central Punjab+Khushab rajputs use "Malik" as a title. The tribes include Tiwanas, Noons, Uttras and Joiyas.
As for politician, check out this ex-MNA of sheikhupura, the late Rai Mansab Ali Khan(R.I.P):
An interesting and handsome looking fellow. Can such a look exist in Jatts, Gujjars, Lohars etc or is he somewhat different?