As mentioned, I'd be interested in knowing his side of the argument so that we might be able to better advise you on how to approach his concerns. You said he thinks it is OP. How so? Why? etc. If it was just that he designed the encounters around not using it, that shouldn't be tough to change his mind on.
On the other hand... did he previously play a mage that one time in a low level campaign? Because when you look at the advantages of a high strength vs a high int at level 1 to 4 they are MASSIVE. Mages can rock but after you use your spells up for the day, that strength and dex bonus that applies every time someone else rolls the dice can seem very OP. It isn't until you cast your first fireball or lightning bolt that you start thinking of strength bonuses with a bit of contempt. ;-) It would be magnified even more if he was a level 1 mage and didn't get a chance to replenish spells for some reason. He got to be a mage that one time, the opponent made the saving throw, and then he was a really crappy fighter for the rest of the time?
No matter how you slice it though, or whatever his history is that causes him to think it is OP, this is a huge house rule... A house rule where you don't bother with Charisma bonuses when interacting with NPCs is less of an issue in most campaigns than ditching combat stat bonuses. On the flip side though... if your campaign is all RP, political intrigue, etc with very little combat at all, the opposite becomes true. I mean you are basically talking about the equivalent of me being able to hit as hard as Conan the Barbarian - or more accurately Conan can't hit any harder than I can. Sure he can pick up his 2 handed sword and it does a bit more damage than my 1 handed sword but if we go to unarmed combat, he isn't any better off than I am? That seems a bit odd to me - to say the least. I'm a bit more agile than I am strong but even still the Dread Pirate Roberts wouldn't break a sweat handing me my hat while using his rapier left handed. Hell, I'd be happy to beat in in thumb wars and I've got a double jointed thumb.
To build on the idea of a trial session with it...
If he has only played one other time, this is just how he learned, and you are all first time players, then using trimmed rules to start with makes sense. But the big rules should be the ones that get added back in ASAP (which would be most everything related to stats.) Keep in mind that you have focused on the stuff that matters to you and the other players have done the same. The DM, on the other hand, is expected to be the "master" in of it all. He may be overwhelmed and not even realize it and this is his way of making it more manageable. He may also have a reason for it that hasn't become apparent but again ... Conan and Roberts wouldn't be Conan and Roberts with that house rule, even in a political intrigue campaign with hardly any combat. If combat did break out, they should have the upper hand compared to others.
I'd approach it by asking him if you can do it for a couple sessions AND/OR if he would like you to be the "assistant" in that area. Alternately, ask if you can reallocate your stats since strength and dex don't have any effect ... and I'd lobby hard for the former.
If he is open to you being the assistant in that area, there may be other house rules that could be changed if other players helped in those areas.
Being a DM is hard to start with. It takes a while to get comfortable with it. In addition to knowing all the rules, worrying about rules lawyers, min/maxers/etc, you also worry that the players aren't going to enjoy the story among a billion other things. It isn't for everybody and everyone does it a tiny bit differently. Keep that in mind when talking to him about this. Don't necessarily say it to him, but remember that he may be overwhelmed and not even realize it.
Good luck! Let us know how it goes!