Absolutely, he's a credit to the league, well I don't really care about the nationality of the manager but I really rate Howe. Bournemouth are comfortably midtable and play some great stuff. They have a small wage bill (comparatively) and have a lot of British players. At the moment they're struggling a bit with injuries too, their defensive leader and captain is out, their best midfielder is out, their best striker is out. Hasn't been able to use Solanke much either so the jury is out on him, but his transfer market work isn't the best.
Can't speak for his time at Molde but I followed him closely at Cardiff due to the rivalry and this wasn't true.
In 18 PL games he conceded 42 goals. Even when they dropped to the championship and he was able to bring loads of players in (around 10), they were still leaking goals everywhere. Just checking his Molde stats now and defensively they're not impressive, considering they dominated the league (183 games 222 goals conceded, if the stats are accurate). So from that I gather that Solskjaer could not set his team to defend well until he was given an opportunity at a big club. When you have a less than stellar side, it's very hard to set up a good defense without affecting your attacking play.
This isn't to this shit on Solskjaer, what he's doing at United is incredible, it's brilliant to watch and I don't think any other manager in the world would have had the same impact he has. I'm just pointing out that pretty much all the criticism being levelled at Howe would all be applicable to Solskjaer, but Solskjaer was given a chance and ran with it.
Edit: I don't disagree that Howe shouldn't go straight to a top job, Bournemouth is a very small club without disrespect, their stadium holds about 10k, I think it'd be very tough going from a small club to a gigantic one, so an inbetween step is probably the best option.