While sempervirens is much better behaved than the dreadful Japanese honeysuckle, I still think that your shrubs will eventually be overcome by the honeysuckle. Is it worth losing your shrubs and trees? That's your call to make.

Will the sempervirens actually kill the shrubs and trees? I have seen it and other honeysuckles growing aplenty among shrubs and small trees in the wild and in gardens, and have not noticed any fatal consequences.

Coral Honeysuckle,Scarlet Honeysuckle,Mailbox Honeysuckle,Lonicera sempervirens grows wild in the South.
I have seen it in many shrubs & small trees without harming them or covering them.
But you have the Major Wheeler cultivar that could cover & shade/choke the host plant.
I agree with lisanti07028. Please post pic's when the plant is in bloom & keep us up dated on the experiment.

The only distinction between 'Major Wheeler' and any other selection or cultivar of Lonicera sempervirens is its profuse bloom potential. Doesn't get any bigger or is any more denser than any other L. sempervirens and so should not "overcome" any reasonably sized shrub or tree. But it is important to match the right shrub/tree with the vine. I would suggest the lilacs and forsythias first, then the magnolia. Forget the nandina and the boxwood unless the box is already quite large. And growing a more or less evergreen vine on any conifers is not a great idea. You will shade out the foliage or needles under the vine and cause dieback. It can also encourage foliar diseases due to excessive moisture and lack of air circulation. Stick with larger, well-established deciduous trees and shrubs.

Thank you for all the comments. I planted the honeysuckle starts by a large boxwood set (about 6 feet high and about 15 feet wide at the widest), as well as beside a Leyland cypress. There is room for the Lonicera sempervirens to sprawl on the ground, which is sloping, as well as grow upward.