No you won't, and not because you're United, one has to be truly horrible week in week out to get relegated, and although you're horrible now, I don't think you can pull it off for the whole season.
I think your misrepresenting the state of the club. Since Solskjaer came in his success (opening games) came at the height of the present circumstances, Mourinho was such a virus that even the most mute of characters would have given that team a lift. Solskjaer caught everything at the right time, he was the perfect picture for the size of the frame which was left by Jose however as soon as the honeymoon period was over, normalcy settled in he was unable to turn poor performances around.
I don't care what people say about Klopp, Poch or even Sir Alex during his infancy, one aspect that has been displayed is the ability to motivate and cultivate players to turn it around. It doesn't matter if we spend 400 million Solskjaer throughout his 10 year career has been unable to turn around bad performances.
The reason why fans feel it will get worse is because Solskjaer is not a progressive manager he's actually the opposite and a stagnant individual in management. The club shouldn't necessarily get rid of Ole because of the results right now, the club should get rid because he doesn't offer us anything long term.
We are a relegation level team because this is the level of the manager. Yes the players aren't the best but what world class team have we played this season ? How many losses have come from clubs who have an inferior starting 11 to our own. Managers like Solskjaer will never work out in life because if we are dependent for everything to fall in place perfectly it's not going to happen.
Ole needs to make better use of these players, he's not utilised what he's working with effectively at all. The midfield is struggling due to his tactical methodology of playing a double pivot when (Pogba, Matic, Scott) excelled under a midfield 3. The attacking players played better under a more negative defensive minded Jose, the defence hasn't improved significantly to warrant the amount spent (130 million) we get carved through against any decent team in possession this is a structural and positional issue which needs to be coached. Absolutely garbage coaching, McKenna and Carrick deserve much criticism.