1) Listen to Moebow. If anyone knows, he does. Moe has plenty of excellent videos on You Tube that explain in detail what you need to know.
2) 70# on a wheel bow equates to around 15# at full draw depending on % let-off, and you also have a 'wall' on a wheel bow. Nothing of the sort on a trad bow. 40# at full draw is 40#...or more, depending on draw length over 28" for most trad bows.
3) Lifting muscles are not the same as the stabilizer muscles required to hold a bow at full draw. Nor is strength. When you are shaking, your mind is screaming at you to "release!" and in turn you will develop a plethora of bad habits that will be difficult to fix down the line. You obviously have not yet developed a firm, solid anchor point. Couple this with the hurry-up- and-fling mentality, and no wonder there is performance anxiety!
My advice would be to get a bow with replaceable limbs, at least 64" (more is better in this instance) in the 25-30# range. There are tons of them out there, quite inexpensive. This will allow you to develop a solid anchor point and hold full draw without shaking, in turn strengthening both your back (rhomboid) and stabilizer muscles, and your confidence as well. While you are working this exercise, also do blank bale shooting at close range (5-10yds) with no target so you eliminate that from the equation. A few weeks of daily workouts will show dramatic improvement, and when you are ready, you should be able to step up a notch to a heavier bolt-on limb, say 30-40#. As confidence, accuracy and strength increase, you can back up to 15-20 yards and the pieces will all start fitting.
Remember, FORM FIRST. If you can't draw and hold WITHOUT SHAKING for 15 seconds, your bow is too heavy. All you will develop is bad form and you will be a poor hunter who will decide trad hunting is not for you. Nothing could be further from the truth.
Feel free to PM me if you have more questions. I've been through all that and learned the hard way.
Lastly, many people fighting target panic have recommended Joel Turner's Iron Mind course. I have no affiliation and no feedback as I've never used it, but others rave about it.
Good luck, and again, feel free to contact me.