Would it improve the sound to close to the Linn or should I continue to hold out to find a Linn that I can afford right now.Let's see. You used to have a Linn Basik (I'm guessing you mean Sondek witha Basik arm) and really loved the sound. Now you have a Music Hall MMF 2.2 and don't like the sound. You're wondering what to modify on the 2.2 to give it the musical satisfaction you got from the Linn.
You could chase your tail on this for years and hundreds of dollars, with no assurance that you'd achieve your sonic vision. Or you can save the angst, time, money (it's more expensive in the long run), and disappointment and save up to get what you know worked for you.
Currently there's a used Sondek/Basik with Valhalla upgrade and RATA cartridge on A'gon for $1200/offer. All things considered, that's not all that much more than what you already have in your 2.2. Sell your 2.2 and the gap narrows even more.