No, and here's why.
Even though its not really a "nerf" to the full item, the changes you suggest to the components of AP items would affect ALL AP champions, wether that's jungle, top, mid, or what have you. That's a lot of players to impact because you don't like mages bot lane.
As for the lower base damages / early scalings, again, this will affect all mages, so unless you want to usher in an era of NO MAGES ANYWHERE because all their early game got taken away from them, then this is a bad idea.
Many mages already have fairly high mana costs, especially sustain mages like Nami and Sona. You want mages out of bot lane but you want to bring mana pots back? This seems silly to me.
What is a support? Not all supports are mages, if I wanted to play Garen support there is nothing stopping me from doing so, changing a major mechanic like this would badly limit the number of champions one could use as support. Keep in mind certain mages like Morgana were made with mid lane in mind, but ended up being used mostly in the support role due to the utility in their kit, that's why we're seeing more veigar and Malzahar support now, among other reasons.
As for your general struggle vs mages in the bot lane, my suggestion is to pick a safe champ / play safe if you feel you will be disadvantaged, and (quite important especially in team play) have your support aim to counter pick their support, this is more important than the adc pick as the support will more or less control the entire lane phase. They have a Lux? Get your sup to go Morgana, or Nami etc.