Bush at front - cutting it short

Hello we have this bush at the front of our house between two driveways and I would like to drastically reduce it in size. I've attached a picture. It has pretty yellow flowers all summer. What I would like to do is cut the size down to half the height but more importantly also half the width. Can I do that and how would that work with the base which is wider currently. Do I have to take out roots or can I just cut it all short and leave the bit I want in the middle? Will this look ok? It would be better than cutting it all short. It obstructs both our view and the neighbour's view as the close is quite small.


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To make a 'proper job' of it, there's also some ivy growing around the base ... I'd pull that all out ... be ruthless as it will compete for moisture and nutrition.
Then give your hypericum a feed of Fish, Blood and Bone (according to directions on the pack) which is a slow acting organic fertiliser and a good soaking with a couple of buckets of water as the area underneath will be pretty dry.
That'll give it the oomph to put on some fresh foliage and flowers after the pruning and look lovely again by the summer.