Goodness, so you have other reasons to feel both annoyed and wary. I did wonder, from your last post, if they are from another country?
I know friends (and parents of friends) have had to get their heads around our ideas about front gardens and drives. Apparently in many countries, the front part - or any unsecured part - is considered socially (and in some cases, legally) public or communal property, so walking across a garden, or parking on a 'drive' is quite acceptable.
I know that doesn't explain blocking your drive or damaging your fence, it was just a thought.
I live on a street where the layout is quite open with our drives and front gardens - and as you'd expect, we respect each other's spaces. My neighbour (not from the UK) gets rather nervous, and wanted to 'barricade' her front garden, which would be almost impossible, given the layout. She explained that where she is from, members of the public would expect to walk across her garden, look in her windows and park on her drive - if you want your front to be private, you barricade it, and she is still amazed by letter boxes (instead of mail boxes at the locked front gate).
I do hope you can resolve this amicably, it sounds like rather extreme thoughtlessness rather than anything worse. Good luck.
PS: Have absolutely no idea what an indoor rag doll cat is!