I'm not very good at English so my translation is going to be bad.
理想は理想のままがいい
I want the ideal to remain as an ideal. this means that I still can't make it true.
手の届かないところにあるから輝いて見えるのです
If I translate this literally →The ideal looks shining because I can't touch it.
I can't touch it = I can never make it come true. That's especially why the ideal looks more attractive.
I'm really bad at translating but I hope you understand even for just a bit.