Engine torque strap

I had a 1971 340 Duster and I have broken my share of motor mounts. so with the type of Motor mounts on a 1974 does not have the same issue? If not needed I can save money by leaving it as is, or getting the polyurethane motor mount inserts. This is my first time owning a 1974 Duster with a 360 magnum swap. Please let me know.
No, they're completely different.
Since you've "broken your share of motor mounts" (There's a very easy cure for this, BTW) on a '71, you know they use a biscuit type mount sandwiched between the engine bracket and K frame pedestal:
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Now go look at your '74- the engine brackets have a rubber insert inside of the metal bracket that uses a through bolt to attach to the revised K frame pedestal. It physically can not separate.
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The rubber can deteriorate or become soft over time and exposure to oil, grease, etc. which is why I mentioned the poly inserts. But even when it does, your engine cannot "break loose" like it can with the earlier sandwich mounts.