Every time you contemplate some requirement for gun ownership just ask yourself if you'd want the same kind of requirement to be placed on being able to vote.
Registration and a record kept of each time you exercise the right?
Sure. There's not a lot of resistance against reasonable requirements to prove who you are and that you are not currently denied the right to own a gun (by being a felon or declared mentally incompetent) when purchasing a firearm. Contrast to the massive resistance on the left against any checks for voter registration. Similarly, no one has a problem with having to prove you are the legal owner of a firearm if you should use it in some way, or that you're legally allowed to carry it (concealed or otherwise) if asked to do so while on a public street, yet asking a voter to produce any form of identification to show that they're the guy who they're claiming to be when voting is a gross violation of their rights.
You're only able to own a gun once every couple years or so?
Not comparable. You're legally allowed to vote in any and every election that comes along. A better comparison would be that you're limited to how many elections you can vote in over a period of time (analogous to limits on how many guns one may own, or how many bullets in a magazine). Or we could say that you're only allowed to vote in a limited number of types of elections (so either local, or state, or federal, but not all). Or votes must all be cast for people whose names start with the same letter, or have the same number of letters in their names, or any of a number of other silly and useless cosmetic differences.
Well, okay. You said it, not me.
Yes, I did. Now go look at all the proposed gun control ideas out there and compare to their equivalents if we were talking about voting rights. You're not allowed to vote if you live in a household with someone who's a felon or mentally incompetent. You're not allowed to vote if you haven't passed an 8 hour course and been granted a license. I could go down the whole list of proposals if you want, but most of them are pretty darn restrictive.