I have a multibit HD wallet which i seldomly use, and the first time syncing the headers took a while... If i remember correctly, it was like 15-20 minutes (might have depended on my internet connection or my peers at that time).
Can you see an orange or a green dot at the right bottom corner of multibit HD, or a syncing indicator... you cropped that part out of the screenshots.
BTW: you do realise it might be a good idear to empty out that wallet, and move all coins to a wallet from whom you do have the seed phrase? If you don't want to use the core wallet, and stick to an HD one, i personally find electrum to be much faster and easyer to use (but that's just a matter of personal opinion). If you create an output to an electrum controlled address combining all unspent inputs, you can be sure that you have the electrum seed words, and you'll be able to continue managing your coins. This way you can keep the multibit HD wallet, just in case you ever receive any funds on it, or if you need to sign a message, but your coins will be safe.
Personally, i would be carefull with uninstalling/installing unless you know exacly which files to keep (i don't have enough experience with multibit HD to know this for sure, with the core wallet you just have to save your wallet.dat, but multibit hd isn't core)... An alternative would be to close multibit HD, copy the wallet (in windows => C:\Users\[yourusername]\AppData\Roaming\MultiBitHD), install multibit HD on a completely different PC, copy the wallet from the original pc, open the wallet on the new pc, and see it if works... If it does, hooray, if it doesn't: no harm done (you haven't touched the multibit HD install on your original pc). I'm certainly not 100% sure this will work, but at least you won't have risked your coins.
More info might be found here:
https://multibit.org/help/hd0.3/backups.htmlBTW: have you tried turning it off and on again? Shutting down multibit and re-opening it, just in case?