There's already 4 park and rides to the north of Newcastle and they are carry fresh air most the day (Regent Centre / Great Park / Four Lane Ends / Northumberland Park) you can't blame Newcastle City Council for that and they can be blamed for a lot of things.
There's a common theme around here lately and a few people have basically done it on here where everyone seems to assume that everyone is going to/from Newcastle and that's your problem. They aren't.
The fact the traffic jams at rush runs from the Coast Road / Gosforth / Cowgate towards the Tyne Bridge suggest this isn't where people are coming from/going too. Infact most people are more likely travelling from Quorum / Cobalt / Regent Centre / The Ministry to Gateshead and beyond try doing those routes using buses especially Quorum / Cobalt and then you'll see why people aren't using them.
https://road.cc/content/news/175356-map-...ghbourhood (Click link on there can't post direct link) - The focus should be on the areas on the map which are orange / red but they're not. The bus services on the coast particular are shockingly bad in areas and you have no choice to use a car. North Whitley Bay / Marsden in particular similar story in most of washington people can't be bothered to use the local buses to connect to another bus to get to places and it's no surprise they're your high car areas.
You can put as many bike lanes through Gateshead / Gosforth but if they don't go where people want then what's the point and no-one is going to be biking from Whitley Bay / South Gateshead. Surely the point should be to put the bike lanes towards a metro station / bus station with some form of secure bike rack in place where you can change to go to your work.