Can someone help me decide between an amp and an integrated amp?

Its elitist to acknowledge the fact that you can do better spending less by paying attention to details like power cords? Getting more for your money is elitist?

What seems to have you so worked up elizabeth is this:

No component you can name will sound very good just sitting there on its factory supplied footers with its factory supplied power cord and its factory supplied patch cord. That’s just a fact.

Well, that is in fact, a fact. Which in spite of what you seem to think is nowhere near the same as saying you are required to buy the power cord, etc. What it says is what it says. I find it helpful to try and read and understand what people actually say and write, and not stuff my made up prejudice into their mouths. YMMV.

@bradkava,
If you want to save space and possibly some money buy a good integrated amp with enough power to drive Maggies. With an integrated amp, you don't need to purchase interconnects for a preamp.
If you have space and funds then individual components are an option.
It's a matter of personal choice and no one but you knows what your preference is. I also should mention that I believe in the long run it's worth waiting in order to purchase components that are really good vs mediocre.
For example, this would do the job nicely: https://www.audiogon.com/listings/lis9die5-luxman-505ux-mk-1-integrated-amp-solid-state
I'm sorry to say I don't know if using your headphone amp would work as a preamp. I think we would need to know the specifics of the headphone amp. It would also be helpful to know a dollar amount you are willing to spend.

Hi not sure which Maggie's you intend to purchase and have no experience with the amps you mentioned but I did use a Parasound integrated with 1.7i and the sound was amazing.
I guess separates or integiverated just depends on the best available deal. Just be sure you have enough current to drive Maggies.

That Classe is a really nice piece for the money.